Found 386 Documents (Results 1–100)
Numerical solution of one-dimensional nonlinear sine-Gordon equation using LOOCV with exponential B-spline. (English) Zbl 07855897
Advancing mathematical physics: insights into solving nonlinear time-fractional equations. (English) Zbl 1539.35288
Modified hybrid B-spline estimation based on spatial regulator tensor network for Burger equation with nonlinear fractional calculus. (English) Zbl 1540.65045
Two effective methods for solution of the Gardner-Kawahara equation arising in wave propagation. (English) Zbl 1540.65501
Kuramoto-Sivashinsky equation: numerical solution using two quintic B-splines and differential quadrature method. (English) Zbl 1540.65416
On collocation-Galerkin method and fractional B-spline functions for a class of stochastic fractional integro-differential equations. (English) Zbl 1540.65023
An effective sustainable collocation method for solving regular/singular systems of conformable differential equations subject to initial constraint conditions. (English) Zbl 07920377
Four numerical schemes for solution of Burgers’ equation via operator splitting trigonometric cubic B-spline collocation method. (English) Zbl 07919795
Study of the Gardner equation with homogeneous boundary conditions via fourth order modified cubic B-spline collocation method. (English) Zbl 1531.65195
A numerical technique based on B-spline for a class of time-fractional diffusion equation. (English) Zbl 1533.65199
A collocation method for the KdV-Kawahara equation by trigonometric quintic B-spline basis. (Russian. English summary) Zbl 1527.65063
An optimal computational method for a general class of nonlinear boundary value problems. (English) Zbl 07745946
IgA-BEM for 3D Helmholtz problems using conforming and non-conforming multi-patch discretizations and B-spline tailored numerical integration. (English) Zbl 1538.65322
A quadratic B-spline collocation method for a singularly perturbed semilinear reaction-diffusion problem with discontinuous source term. (English) Zbl 1519.65017
Review summary of cubic trigonometric and modified trigonometric techniques for solving nonlinear parabolic type PDEs. (English) Zbl 1517.65096
Retracted article: A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations. (English) Zbl 1524.65662
Int. J. Comput. Math. 100, No. 7, 1580-1600 (2023); retraction note ibid. 100, No. 9, 1955 (2023).
Application of sextic B-spline collocation method for solving inverse the modified Kawahara equation. (English) Zbl 1514.65119
Travelling peakon and solitary wave solutions of modified Fornberg-Whitham equations with nonhomogeneous boundary conditions. (English) Zbl 07702460
A high-order unconditionally stable numerical method for a class of multi-term time-fractional diffusion equation arising in the solute transport models. (English) Zbl 1524.65637
A reduced-order model based on cubic B-spline basis function and SSP Runge-Kutta procedure to investigate option pricing under jump-diffusion models. (English) Zbl 1521.91384
A new outlook for analysis of Noyes-Field model for the nonlinear Belousov-Zhabotinsky reaction using operator splitting method. (English) Zbl 1538.76230
A new numerical algorithm based on quintic B-spline and adaptive time integrator for coupled Burger’s equation. (English) Zbl 1524.65644
A new application for numerical computations of the modified equal width equation (MEW) based on lumped Galerkin method with the cubic B-spline. (English) Zbl 1524.74180
Numerical and dynamical behaviors of nonlinear traveling wave solutions of the Kudryashov-Sinelshchikov equation. (English) Zbl 1525.65093
An adaptive stochastic investigation of partial differential equations using wavelet collocation generalized polynomial chaos method. (English) Zbl 1508.65142
On the matrices in B-spline collocation methods for Riesz fractional equations and their spectral properties. (English) Zbl 07655834
Reviewer: Haydar Akca (Abu Dhabi)
An efficient numerical scheme and its stability analysis for a time-fractional reaction diffusion model. (English) Zbl 1503.65268
A collocation algorithm based on septic B-splines and bifurcation of traveling waves for Sawada-Kotera equation. (English) Zbl 1540.65415
A computational technique for solving the time-fractional Fokker-Planck equation. (English) Zbl 1538.65427
Numerical solutions of nonhomogeneous Rosenau type equations by quintic B-spline collocation method. (English) Zbl 1527.65111
A high-order efficient technique and its convergence analysis for Bratu-type and Lane-Emden-type problems. (English) Zbl 1527.65057
A quartic trigonometric tension B-spline finite element method for solving Gardner equation. (English) Zbl 1533.65168
Parameter-uniform robust scheme for singularly perturbed parabolic convection-diffusion problems with large time-lag. (English) Zbl 1524.65672
Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation. (English) Zbl 1510.65267
Numerical solution by quintic B-spline collocation finite element method of generalized Rosenau-Kawahara equation. (English) Zbl 1510.65201
Redefined quintic B-spline collocation technique for nonlinear higher order PDEs. (English) Zbl 1503.65270
A novel hybrid method based cubic B-spline for one-dimensional Stefan problem with moving PCM, size-dependent thermal conductivity and periodic boundary condition. (English) Zbl 1513.35550
A fourth-order numerical method for solving a class of derivative-dependent nonlinear singular boundary value problems. (English) Zbl 1513.65238
Solution of non-linear time fractional telegraph equation with source term using B-spline and Caputo derivative. (English) Zbl 1525.65108
Numerical approximations based on sextic B-spline functions for solving fourth-order singular problems. (English) Zbl 1513.65235
A robust numerical technique and its analysis for computing the price of an Asian option. (English) Zbl 1492.91431
A novel approach for solving nonlinear singular boundary value problems arising in various physical models. (English) Zbl 1503.65145
An improvised collocation algorithm to solve generalized Burgers’-Huxley equation. (English) Zbl 1496.65186
Solutions of fluid flow problem over a generalized stretching or shrinking sheet with heat transfer using cubic and quartic B-spline collocation methods. (English) Zbl 1499.76078
Cubic B-spline collocation method on a non-uniform mesh for solving nonlinear parabolic partial differential equation. (English) Zbl 1499.65580
An implicit wavelet collocation method for variable coefficients space fractional advection-diffusion equations. (English) Zbl 1484.65264
Numerical approximation for inverse problem of the Ostrovsky-Burgers equation. (English) Zbl 1482.65172
A fast numerical scheme for solving singular boundary value problems arising in various physical models. (English) Zbl 1492.65211
An integrative approach for analysis of nonlinear electrical circuits using-polynomial B-spline expansion and B-spline Krawczyk operator. (English) Zbl 1487.65100
A high order numerical technique and its analysis for nonlinear generalized Fisher’s equation. (English) Zbl 1524.65680
Collocation method using artificial viscosity for time dependent singularly perturbed differential-difference equations. (English) Zbl 1540.65406
A superconvergent B-spline technique for second order nonlinear boundary value problems. (English) Zbl 1510.65159
An efficient numerical method based on redefined cubic B-spline basis functions for pricing Asian options. (English) Zbl 1471.91620
An improvised collocation algorithm with specific end conditions for solving modified Burgers equation. (English) Zbl 1534.65211
A high order numerical scheme for solving a class of non-homogeneous time-fractional reaction diffusion equation. (English) Zbl 07776029
Application of operator splitting by quartic B-spline collocation for Burgers’ equation. (English) Zbl 1524.65519
Non-polynomial B-spline and shifted Jacobi spectral collocation techniques to solve time-fractional nonlinear coupled Burgers’ equations numerically. (English) Zbl 1494.65087
A collocation method based on cubic trigonometric B-splines for the numerical simulation of the time-fractional diffusion equation. (English) Zbl 1494.65073
An approximation to the solution of one-dimensional hyperbolic telegraph equation based on the collocation of quadratic B-spline functions. (English) Zbl 1499.65586
An exponential cubic B-spline algorithm for solving the nonlinear coupled Burgers’ equation. (English) Zbl 1499.65350
Computational study of the convection-diffusion equation using new cubic B-spline approximations. (English) Zbl 1484.65274
A new efficient fourth order collocation scheme for solving sine-Gordon equation. (English) Zbl 07490149
Solving of nonlinear Volterra integro-differential equations in the complex plane with periodic quasi-wavelets. (English) Zbl 1499.65349
High order compact cubic B-spline collocation method for the solution of Fisher’s equation. (English) Zbl 1481.65198
Quadratic \(B\)-spline collocation method for two-parameter singularly perturbed problem on exponentially graded mesh. (English) Zbl 1480.65187
A new numerical scheme for third-order singularly Emden-Fowler equations using quintic B-spline function. (English) Zbl 1480.65191
B-spline collocation discretizations of Caputo and Riemann-Liouville derivatives: a matrix comparison. (English) Zbl 1498.65172
Numerical treatment of the generalized time-fractional Huxley-Burgers’ equation and its stability examination. (English) Zbl 07435537
On numerical simulations of time fractional phi-four equation using Caputo derivative. (English) Zbl 1476.65016
A high-order numerical algorithm for solving Lane-Emden equations with various types of boundary conditions. (English) Zbl 1476.65275
A new efficient fourth order collocation scheme for solving Burgers’ equation. (English) Zbl 1508.76082
A novel B-spline method for modeling transport problems in anisotropic inhomogeneous media. (English) Zbl 1499.65577
Quasi-interpolant operators and the solution of fractional differential problems. (English) Zbl 1477.65124
Fasshauer, Gregory E. (ed.) et al., Approximation theory XVI. Proceedings of the international conference, Nashville, TN, USA, May 19–22, 2019. Cham: Springer. Springer Proc. Math. Stat. 336, 207-218 (2021).
Numerical investigation for the fractional nonlinear space-time telegraph equation via the trigonometric Quintic B-spline scheme. (English) Zbl 1469.35196
An efficient numerical method based on exponential B-spline basis functions for solving a class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions. (English) Zbl 1512.65156
Numerical solution of fractional differential equations by semiorthogonal B-spline wavelets. (English) Zbl 1490.65147
Application of cubic B-spline collocation method for reaction diffusion Fisher’s equation. (English) Zbl 1474.35538
Solving the modified regularized long wave equations via higher degree B-spline algorithm. (English) Zbl 1471.65160
Numerical approximation for viscous Cahn-Hilliard equation via septic B-spline. (English) Zbl 1454.65063
Application of new quintic polynomial B-spline approximation for numerical investigation of Kuramoto-Sivashinsky equation. (English) Zbl 1486.65199
Development and analysis of new approximation of extended cubic B-spline to the nonlinear time fractional Klein-Gordon equation. (English) Zbl 1482.65022
Solving time fractional Burgers’ and Fisher’s equations using cubic B-spline approximation method. (English) Zbl 1482.35254
A numerical investigation of Caputo time fractional Allen-Cahn equation using redefined cubic B-spline functions. (English) Zbl 1482.65195
The numerical study of advection-diffusion equations by the fourth-order cubic B-spline collocation method. (English) Zbl 1473.65240
The numerical solution of nonlinear fractional-order Fredholm integral equation by B-spline wavelet collocation method. (Chinese. English summary) Zbl 1474.65521
Development of non polynomial spline and new B-spline with application to solution of Klein-Gordon equation. (English) Zbl 1474.65401
A collocation method in spline spaces for the solution of linear fractional dynamical systems. (English) Zbl 1510.65173
An approximation to the solution of time fractional modified Burgers’ equation using extended cubic B-spline method. (English) Zbl 1463.65237
Numerical simulation of nonlinear parabolic type Volterra partial integro-differential equations using quartic B-spline collocation method. (English) Zbl 1451.65229
A fourth order numerical method based on B-spline functions for pricing Asian options. (English) Zbl 1446.65133
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