Found 2,426 Documents (Results 1–100)
Well-conditioned Galerkin spectral method for two-sided fractional diffusion equation with drift and fractional Laplacian. (English) Zbl 07924840
A Bernoulli-reproducing kernel method for a class of nonlinear singular boundary value problems. (English) Zbl 07924370
An accurate and efficient space-time Galerkin spectral method for the subdiffusion equation. (English) Zbl 07923996
Hahn wavelets collocation method combined with Laplace transform method for solving fractional integro-differential equations. (English) Zbl 07915223
A novel multi-frame image super-resolution model based on regularized nonlinear diffusion with Caputo time fractional derivative. (English) Zbl 07912567
Numerical treatment of singular ODEs using finite difference and collocation methods. (English) Zbl 07901902
Local discontinuous Galerkin method for a singularly perturbed fourth-order problem of convection-diffusion type. (English) Zbl 07901894
Superconvergence analysis of the conforming discontinuous Galerkin method on a Bakhvalov-type mesh for singularly perturbed reaction-diffusion equation. (English) Zbl 07901109
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems. I: The one-dimensional case. (English) Zbl 07900968
Sharp error bounds for a fractional collocation method for weakly singular Volterra integral equations with variable exponent. (English) Zbl 07900959
Piecewise Jacobi-Gauss spectral collocation simulations for a multi-particle model involving processing delay. (English) Zbl 07899228
Numerical solution of general order Emden-Fowler-type pantograph delay differential equations. (English) Zbl 07899058
Enhanced shifted Jacobi operational matrices of integrals: spectral algorithm for solving some types of ordinary and fractional differential equations. (English) Zbl 07897001
Postprocessing technique of the discontinuous Galerkin method for solving delay differential equations. (English) Zbl 07895386
An efficient spectral method for nonlinear Volterra integro-differential equations with weakly singular kernels. (English) Zbl 1542.65193
Sparse wavelet Galerkin method: application for fractional pantograph problem. (English) Zbl 1542.65080
A high-order B-spline collocation method for solving a class of nonlinear singular boundary value problems. (English) Zbl 1543.65118
Arbitrary high order ADER-DG method with local DG predictor for solutions of initial value problems for systems of first-order ordinary differential equations. (English) Zbl 1543.65108
A Fibonacci Galerkin method for solving certain types of boundary value problems. (English) Zbl 07874446
Efficient and parallel solution of high-order continuous time Galerkin for dissipative and wave propagation problems. (English) Zbl 1543.65148
Stability analysis and numerical approximate solution for a new epidemic model with the vaccination strategy. (English) Zbl 07869382
The general Bernstein function: application to \(\chi\)-fractional differential equations. (English) Zbl 07869370
Construction of basis functions for finite element methods in a Hilbert space. (English) Zbl 07864149
Robust convergence result of discontinuous Galerkin stabilization method for two-dimensional reaction-diffusion equation with discontinuous source term. (English) Zbl 07860042
Nonlinear bending behavior of functionally graded porous beams based on sinusoidal shear deformation theory. (English) Zbl 07856751
Numerical schemes for a class of singular fractional integro-differential equations. (English) Zbl 1540.65557
Adaptive spectral solution method for Fredholm integral equations of the second kind. (English) Zbl 07853034
Spectral collocation method for solving multi-term fractional integro-differential equations with nonlinear integral. (English) Zbl 1536.65170
Fractional Bell collocation method for solving linear fractional integro-differential equations. (English) Zbl 07843594
Chebyshev-Picard iteration methods for solving delay differential equations. (English) Zbl 1540.65205
Advanced numerical scheme and its convergence analysis for a class of two-point singular boundary value problems. (English) Zbl 1540.65259
Highly accurate method for a singularly perturbed coupled system of convection-diffusion equations with Robin boundary conditions. (English) Zbl 1535.65106
Local discontinuous Galerkin method for a singularly perturbed fourth-order problem of reaction-diffusion type. (English) Zbl 1536.65080
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations. (English) Zbl 1533.65256
An adaptive spectral method for oscillatory second-order linear ODEs with frequency-independent cost. (English) Zbl 1534.65112
A convection-diffusion problem with a large shift on Durán meshes. (English) Zbl 1540.65368
Reviewer: Yanlai Chen (North Dartmouth)
A coupled scheme based on uniform algebraic trigonometric tension B-Spline and a hybrid block method for Camassa-Holm and Degasperis-Procesi equations. (English) Zbl 1538.65027
A high-order multi-resolution wavelet method for nonlinear systems of differential equations. (English) Zbl 1540.65578
Spectral and Haar wavelet collocation method for the solution of heat generation and viscous dissipation in micro-polar nanofluid for MHD stagnation point flow. (English) Zbl 1540.76164
Parameter-uniform superconvergence of multiscale computation for singular perturbation exhibiting twin boundary layers. (English) Zbl 07921264
An \(\varepsilon \)-uniformly convergent method for singularly perturbed parabolic problems exhibiting boundary layers. (English) Zbl 07920413
Solving ordinary differential equations by LS-SVM. (English) Zbl 07914324
Rad, Jamal Amani (ed.) et al., Learning with fractional orthogonal kernel classifiers in support vector machines. Theory, algorithms and applications. Singapore: Springer. Ind. Appl. Math., 147-170 (2023).
Constructional method for a non-local boundary and initial problem raised from a free boundary model of cancer. (English) Zbl 1540.35239
Kähler, Uwe (ed.) et al., Analysis, applications, and computations. Proceedings of the 13th ISAAC congress, Ghent, Belgium, August 2–6, 2021. Cham: Birkhäuser. Trends Math., 255-268 (2023).
A new approaching method for linear neutral delay differential equations by using clique polynomials. (English) Zbl 1539.65075
Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations. (English) Zbl 1536.65079
Approximate solutions for a fractional thermostat model boundary value problem via Bernstein’s collocation method with Legendre polynomials. (English) Zbl 1534.65106
Bernoulli wavelet least squares support vector regression: robust numerical method for systems of fractional differential equations. (English) Zbl 1534.65113
Estimate of the fractional advection-diffusion equation with a time-fractional term based on the shifted Legendre polynomials. (English) Zbl 07814833
Numerical solution of third-order boundary value problems using non-classical sinc-collocation method. (English) Zbl 1533.65105
Spectral collocation method based on special functions for solving nonlinear high-order pantograph equations. (English) Zbl 1533.65095
High-order enriched finite element methods for elliptic interface problems with discontinuous solutions. (English) Zbl 1538.65489
A posteriori error analysis for an ultra-weak discontinuous Galerkin approximations of nonlinear second-order two-point boundary-value problems. (English) Zbl 1538.65196
Streamline diffusion finite element method for a singularly perturbed problem with an interior layer on Shishkin mesh. (English) Zbl 1538.65201
Spectral poly-sinc collocation method for solving a singular nonlinear BVP of reaction-diffusion with Michaelis-Menten kinetics in a catalyst/biocatalyst. (English) Zbl 1531.92040
A fuzzy particle swarm optimization method with application to shape design problem. (English) Zbl 1531.49041
A reproducing kernel method for solving singularly perturbed delay parabolic partial differential equations. (English) Zbl 1531.35025
The role of radiation and bioconvection as an external agent to control the temperature and motion of fluid over the radially spinning circular surface: a theoretical analysis via Chebyshev spectral approach. (English) Zbl 1538.80001
Piecewise orthogonal collocation for computing periodic solutions of renewal equations. (English) Zbl 1530.65069
A highly accurate matrix method for solving a class of strongly nonlinear BVP arising in modeling of human shape corneal. (English) Zbl 1538.65214
Numerical solution of linear Emden Fowler Equations using collocating method. (English) Zbl 07779304
Numerical solution of fractional delay Volterra integro-differential equations by Bernstein polynomials. (English) Zbl 1532.65124
A new numerical strategy for solving nonlinear singular Emden-Fowler delay differential models with variable order. (English) Zbl 1527.65051
A collocation method for the KdV-Kawahara equation by trigonometric quintic B-spline basis. (Russian. English summary) Zbl 1527.65063
Superconvergent postprocessing of the \(C^1\)-conforming finite element method for fourth-order boundary value problems. (English) Zbl 1528.65038
Highly accurate method for boundary value problems with Robin boundary conditions. (English) Zbl 1523.65062
A fast time-stepping method based on the \(hp\)-version spectral collocation method for the nonlinear fractional delay differential equation. (English) Zbl 1523.65066
Numerical solutions of high-order differential equations with polynomial coefficients using a Bernstein polynomial basis. (English) Zbl 1522.65129
Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs. (English) Zbl 1522.65128
A superconvergent ultra-weak discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems. (English) Zbl 1518.65076
Numerical solution of general Emden-Fowler equation using Haar wavelet collocation method. (English) Zbl 07727814
Numerical solution of the Cauchy problem based on the basic element method. (Russian. English summary) Zbl 1522.65112
Numerical solutions of the Bagley-Torvik equation by using generalized functions with fractional powers of Laguerre polynomials. (English) Zbl 07715013
NIPG finite element method for convection-dominated diffusion problems with discontinuous data. (English) Zbl 07714969
Superconvergence of an ultra-weak discontinuous Galerkin method for nonlinear second-order initial-value problems. (English) Zbl 07714948
Numerical solution of boundary value problem for the Bagley-Torvik equation using Hermite collocation method. (English) Zbl 1514.65094
Energy norm error estimate for singularly perturbed fourth-order differential equation with two parameters. (English) Zbl 1538.65195
A novel approach based on mixed exponential compact finite difference and OHA methods for solving a class of nonlinear singular boundary value problems. (English) Zbl 1524.65283
An efficient technique based on higher order Haar wavelet method for Lane-Emden equations. (English) Zbl 1540.65233
A non-uniform Haar wavelet method for a singularly perturbed convection-diffusion type problem with integral boundary condition on an exponentially graded mesh. (English) Zbl 1538.65208
Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation. (English) Zbl 1524.65262
Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson-Nernst-Planck/Navier-Stokes equations and applications in electrochemical systems. (English) Zbl 1515.65212
Superconvergent postprocessing of the discontinuous Galerkin time stepping method for nonlinear Volterra integro-differential equations. (English) Zbl 1524.65989
Numerical solution of the diffusion problem of distributed order based on the sinc-collocation method. (English) Zbl 1512.65234
Superconvergence and postprocessing of the continuous Galerkin method for nonlinear Volterra integro-differential equations. (English) Zbl 1514.65096
Approximating solutions to fractional-order Bagley-Torvik equation via generalized Bessel polynomial on large domains. (English) Zbl 1516.65055
Reviewer: Abdallah Bradji (Annaba)
Application of compact local integrated RBF (CLI-RBF) for solving transient forward and backward heat conduction problems with continuous and discontinuous sources. (English) Zbl 1521.65068
Superconvergent postprocessing of the continuous Galerkin time stepping method for nonlinear initial value problems with application to parabolic problems. (English) Zbl 1517.65060
Reviewer: Abdallah Bradji (Annaba)
Numerical solution for Benjamin-Bona-Mahony-Burgers equation with strang time-splitting technique. (English) Zbl 1509.65009
A very high order discontinuous Galerkin method for the numerical solution of stiff DDEs. (English) Zbl 1511.65062
Supercloseness and postprocessing for linear finite element method on Bakhvalov-type meshes. (English) Zbl 07676493
Local refinement of solutions in the finite element method. (English. Russian original) Zbl 1512.65162
J. Math. Sci., New York 269, No. 1, 18-35 (2023); translation from Probl. Mat. Anal. 120, 19-33 (2023).
An \(hp\)-version fractional collocation method for Volterra integro-differential equations with weakly singular kernels. (English) Zbl 1511.65061
A superconvergent ultra-weak local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems. (English) Zbl 1512.65150
Pell-Lucas collocation method for solving a class of second order nonlinear differential equations with variable delays. (English) Zbl 1538.65169
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