Found 284 Documents (Results 1–100)
Streamlined numerical solutions of Burgers’ equations bridging the tailored finite point method and the Cole Hopf transformation. (English) Zbl 07899563
MSC:
65N12
A new application of fractional derivatives for predicting human glioblastoma multiforme tumor growth. (English) Zbl 07886291
Learning based numerical methods for acoustic frequency-domain simulation with high frequency. (English) Zbl 07855374
Sixth-order quasi-compact difference scheme for the time-dependent diffusion equation. (English) Zbl 07843796
A computational method for nonlinear Burgers’ equation using quartic-trigonometric tension B-splines. (English) Zbl 07843593
Asymptotic dispersion correction in general finite difference schemes for Helmholtz problems. (English) Zbl 1534.35085
An implicit scheme for time-fractional coupled generalized Burgers’ equation. (English) Zbl 1541.65128
A deep-genetic algorithm (deep-GA) approach for high-dimensional nonlinear parabolic partial differential equations. (English) Zbl 1538.91102
Numerical solution to a free boundary problem for the Stokes equation using the coupled complex boundary method in shape optimization setting. (English) Zbl 1528.35241
A weak Galerkin finite element method for nonlinear convection-diffusion equation. (English) Zbl 07764030
On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations. (English) Zbl 07763848
A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers’) equations. (English) Zbl 07763847
A compact ADI finite difference method for 2D reaction-diffusion equations with variable diffusion coefficients. (English) Zbl 07738650
Nine-point compact sixth-order approximation for two-dimensional nonlinear elliptic partial differential equations: application to bi- and tri-harmonic boundary value problems. (English) Zbl 07801668
The numerical solutions for the nonhomogeneous Burgers’ equation with the generalized Hopf-Cole transformation. (English) Zbl 1531.65131
Comparative work for the source identification in parabolic inverse problem based on Taylor and Chebyshev wavelet methods. (English) Zbl 1530.65110
Sixth-order compact finite difference method for 2D Helmholtz equations with singular sources and reduced pollution effect. (English) Zbl 1538.65454
Reconstruction of a time-dependent coefficient in nonlinear Klein-Gordon equation using Bernstein spectral method. (English) Zbl 1538.81017
Higher order accurate compact schemes for time dependent linear and nonlinear convection-diffusion equations. (English) Zbl 1538.76180
A spectrally accurate time-space pseudospectral method for viscous Burgers’ equation. (English) Zbl 1535.65234
Error bounds of fourth-order compact finite difference methods for the Dirac equation in the massless and nonrelativistic regime. (English) Zbl 07776947
A three-dimensional shape optimization for transient acoustic scattering problems using the time-domain boundary element method. (English) Zbl 07769216
A combined compact finite difference scheme for solving the acoustic wave equation in heterogeneous media. (English) Zbl 07769109
A modified Runge-Kutta scheme for the generalized Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 07752267
Numerical study of two-dimensional Burgers’ equation by using a continuous Galerkin method. (English) Zbl 07750305
High-order compact difference schemes based on the local one-dimensional method for high-dimensional nonlinear wave equations. (English) Zbl 1520.65055
Scattering of shallow asymmetric V-shaped canyon under cylindrical SH waves. (English) Zbl 1522.74058
On the uniqueness of solutions in inverse problems for Burgers’ equation under a transverse diffusion. (English) Zbl 1520.80002
High accuracy compact difference and multigrid methods for two-dimensional time-dependent nonlinear advection-diffusion-reaction problems. (English) Zbl 1524.35305
A new numerical formulation for the generalized time-fractional Benjamin Bona Mohany Burgers’ equation. (English) Zbl 07715006
Numerical algorithm with high accuracy for the modified Helmholtz equation with Robin boundary value problem. (English) Zbl 07705766
Optimized decomposition method for solving multi-dimensional Burgers’ equation. (English) Zbl 1540.65417
An explicit high-order compact finite difference scheme for the three-dimensional acoustic wave equation with variable speed of sound. (English) Zbl 1524.35345
Iterative compact finite difference method for the numerical study of fully wet porous fins with different profile shapes. (English) Zbl 07699046
Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers’ equations. (English) Zbl 07699009
On construction and properties of compact 4th order finite-difference schemes for the variable coefficient wave equation. (English) Zbl 1518.65096
Numerical simulation and dynamics of Burgers’ equation using the modified cubic B-spline differential quadrature method. (English) Zbl 1515.65263
A stabilized FEM formulation with discontinuity-capturing for solving Burgers’-type equations at high Reynolds numbers. (English) Zbl 1511.76051
High order compact schemes for flux type BCs. (English) Zbl 1516.65115
Reviewer: Ljiljana Teofanov (Novi Sad)
A lattice Boltzmann model based on Cole-Hopf transformation for \(N\)-dimensional coupled Burgers’ equations. (English) Zbl 1538.65440
A high-order compact LOD method for solving the three-dimensional reaction-diffusion equation with nonlinear reaction term. (English) Zbl 1524.35153
A novel decomposition as a fast finite difference method for second derivatives. (English) Zbl 1506.65183
A Fréchet derivative-based novel approach to option pricing models in illiquid markets. (English) Zbl 1538.91098
Design and analysis of a high order computational technique for time-fractional Black-Scholes model describing option pricing. (English) Zbl 1527.91180
Hierarchical adaptive low-rank format with applications to discretized partial differential equations. (English) Zbl 07655842
MSC:
65F55
Orthogonal spline collocation methods for 1D-parabolic problems with interfaces. (English) Zbl 1513.65399
Efficiently energy-dissipation-preserving ADI methods for solving two-dimensional nonlinear Allen-Cahn equation. (English) Zbl 1504.65172
Alternating direction method for the wave equation with integral boundary conditions. (English) Zbl 1500.65046
Numerical solutions of inverse time fractional coupled Burgers’ equations by the Chebyshev wavelet method. (English) Zbl 07597387
An accurate and efficient local one-dimensional method for the 3D acoustic wave equation. (English) Zbl 1497.65140
A numerical approach for the analytical solution of the fourth-order parabolic partial differential equations. (English) Zbl 1512.65240
A high accuracy local one-dimensional explicit compact scheme for the 2D acoustic wave equation. (English) Zbl 1502.65078
Trigonometric \(B\)-spline based \(\varepsilon\)-uniform scheme for singularly perturbed problems with Robin boundary conditions. (English) Zbl 1492.65283
A spectral method based on Bernstein orthonormal basis functions for solving an inverse Roseneau equation. (English) Zbl 1513.65339
Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations. (English) Zbl 1510.65284
A semi-Lagrangian Bernstein-Bézier finite element method for two-dimensional coupled Burgers’ equations at high Reynolds numbers. (English) Zbl 1540.76084
Multichannel impedance inversion in the frequency domain via anisotropic total variation with overlapping group sparsity regularization. (English) Zbl 1487.86003
Local radial basis function-finite difference based algorithms for singularly perturbed Burgers’ model. (English) Zbl 1540.65299
An \(H^1\)-Galerkin mixed finite element method for identification of time dependent parameters in parabolic problems. (English) Zbl 1510.35399
A high order compact time/space finite difference scheme for the 2D and 3D wave equation with a damping layer. (English) Zbl 07525152
Compact scheme for fractional diffusion-wave equation with spatial variable coefficient and delays. (English) Zbl 1490.65163
The error estimations of a two-level linearized compact ADI method for solving the nonlinear coupled wave equations. (English) Zbl 07496461
MSC:
65Mxx
Using a cubic B-spline method in conjunction with a one-step optimized hybrid block approach to solve nonlinear partial differential equations. (English) Zbl 1499.65575
High-order implicit weighted compact nonlinear scheme for nonlinear coupled viscous Burgers’ equations. (English) Zbl 1540.65349
The virtual element method for the time fractional convection diffusion reaction equation with non-smooth data. (English) Zbl 1524.65631
A parallel-in-time implementation of the Numerov method for wave equations. (English) Zbl 1483.65056
J. Sci. Comput. 90, No. 1, Paper No. 20, 31 p. (2022); correction ibid. 91, No. 3, Paper No. 70, 3 p. (2022).
On higher-order compact ADI schemes for the variable coefficient wave equation. (English) Zbl 1510.65217
LDG approximation of a nonlinear fractional convection-diffusion equation using B-spline basis functions. (English) Zbl 1518.65110
Long time error analysis of the fourth-order compact finite difference methods for the nonlinear Klein-Gordon equation with weak nonlinearity. (English) Zbl 1534.65133
A greedy algorithm for optimal heating in powder-bed-based additive manufacturing. (English) Zbl 1490.93082
Numerical methods for time-fractional convection-diffusion problems with high-order accuracy. (English) Zbl 07485648
Combining adaptive dictionary learning with nonlocal similarity for full-waveform inversion. (English) Zbl 07484751
Comment on: “The modified extended tanh-function method for solving Burgers-type equations”. (English) Zbl 07457339
MSC:
82-XX
An optimal fourth-order finite difference scheme for the Helmholtz equation based on the technique of matched interface boundary. (English) Zbl 1486.65222
An efficient Strang splitting technique combined with the multiquadric-radial basis function for the Burgers’ equation. (English) Zbl 1499.65293
Numerical analysis of fractional-order parabolic equations via Elzaki transform. (English) Zbl 07446722
MSC:
65-XX
Numerical study of 1D and 2D advection-diffusion-reaction equations using Lucas and Fibonacci polynomials. (English) Zbl 07435758
MSC:
65Mxx
A compact quadratic spline collocation method for the time-fractional Black-Scholes model. (English) Zbl 1541.91264
High order semi-implicit weighted compact nonlinear scheme for viscous Burgers’ equations. (English) Zbl 1540.65298
Hybrid radial basis function methods of lines for the numerical solution of viscous Burgers’ equation. (English) Zbl 1476.65268
A new efficient fourth order collocation scheme for solving Burgers’ equation. (English) Zbl 1508.76082
A composite algorithm for numerical solutions of two-dimensional coupled Burgers’ equations. (English) Zbl 1477.65168
Numerical solution and stability analysis for a class of nonlinear differential equations. (English) Zbl 1528.65049
Fourth order compact FD methods for convection diffusion equations with variable coefficients. (English) Zbl 1524.65721
The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions. (English) Zbl 1501.65037
Dirac assisted tree method for 1D heterogeneous Helmholtz equations with arbitrary variable wave numbers. (English) Zbl 1524.35159
Sixth-order compact finite difference scheme with discrete sine transform for solving Poisson equations with Dirichlet boundary conditions. (English) Zbl 1478.65101
A higher-order unconditionally stable scheme for the solution of fractional diffusion equation. (English) Zbl 1473.65258
High order approximation of derivatives with applications to pricing of financial derivatives. (English) Zbl 1486.65212
A generalized optimal fourth-order finite difference scheme for a 2D Helmholtz equation with the perfectly matched layer boundary condition. (English) Zbl 1475.65166
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