Trigonometric B-spline collocation method for solving PHI-four and Allen-Cahn equations

DOI10.1007/s00009-017-0916-8zbMath1377.65138OpenAlexW2609270331MaRDI QIDQ1674198

Waheed K. Zahra

Publication date: 1 November 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-0916-8

zbMATH Keywords

algorithmconvergencenumerical examplecollocation methodAllen-Cahn equationtrigonometric B-splinevon Neumann stabilitytime-dependent problemsPHI-four equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions ⋮ A fourth-order B-spline collocation method for nonlinear Burgers-Fisher equation ⋮ AN EFFICIENT NUMERICAL METHOD BASED ON CUBIC B-SPLINE FOR TIME DEPENDENT PROBLEM WITH SMALL PARAMETER ⋮ Numerical study of reaction diffusion Fisher's equation by fourth order cubic B-spline collocation method ⋮ Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation ⋮ On numerical simulations of time fractional phi-four equation using Caputo derivative ⋮ A convergent hybrid numerical scheme for a class of nonlinear diffusion equations

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