A convergent hybrid numerical scheme for a class of nonlinear diffusion equations

DOI10.1007/s40314-022-02033-8OpenAlexW4296962509MaRDI QIDQ2085006

Yanyan Li

Publication date: 14 October 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-02033-8

zbMATH Keywords

collocation methodNewell-Whitehead equationAllen-Cahn equationTaylor series approacherror and convergence analysisMorgan-Voyce functions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Approximation by polynomials (41A10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (1)

Combination of discrete technique on graded meshes with barycentric rational interpolation for solving a class of time-dependent partial integro-differential equations with weakly singular kernels

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mixed finite element methods for the Rosenau equation
• Trigonometric B-spline collocation method for solving PHI-four and Allen-Cahn equations
• A uniformly convergent scheme on a nonuniform mesh for convection-diffusion parabolic problems
• Analysis of local discontinuous Galerkin method for time-space fractional sine-Gordon equations
• Exact solution of the time fractional variant Boussinesq-Burgers equations.
• Bernoulli wavelet method for numerical solution of anomalous infiltration and diffusion modeling by nonlinear fractional differential equations of variable order
• Two novel Bessel matrix techniques to solve the squeezing flow problem between infinite parallel plates
• A new tau-collocation method with fractional basis for solving weakly singular delay Volterra integro-differential equations
• A novel numerical approach for simulating the nonlinear MHD Jeffery-Hamel flow problem
• On the development of Adomian decomposition method for solving PDE systems with non-prescribed data
• Hexagonal grid approximation of the solution of the heat equation on special polygons
• A highly accurate and computationally efficient technique for solving the electrohydrodynamic flow in a circular cylindrical conduit
• Linear barycentric rational collocation method for solving second-order Volterra integro-differential equation
• Numerical schemes for a class of tempered fractional integro-differential equations
• Stability and convergence of compact finite difference method for parabolic problems with delay
• A posteriori error estimates for the coupling equations of scalar conservation laws
• Spectral semi-discretization algorithm for a class of nonlinear parabolic PDEs with applications
• A Taylor-Chebyshev approximation technique to solve the \(1D\) and \(2D\) nonlinear Burgers equations
• Exact solutions for some time‐fractional evolution equations using Lie group theory
• On the characteristic Adomian decomposition method for the Riemann problem
• Mathematical studies of the solution of Burgers' equations by Adomian decomposition method
• Analytical and numerical solutions of mathematical biology models: The Newell‐Whitehead‐Segel and Allen‐Cahn equations
• HE'S VARIATIONAL ITERATION METHOD FOR THE SOLUTION OF NONLINEAR NEWELL-WHITEHEAD-SEGEL EQUATION
• A novel variable‐order fractional nonlinear Klein Gordon model: A numerical approach
• An efficient numerical approach for solving the variable-order time fractional diffusion equation using chebyshev spectral collocation method

This page was built for publication: A convergent hybrid numerical scheme for a class of nonlinear diffusion equations