Numerical solutions for convection-diffusion equation using El-Gendi method

DOI10.1016/j.cnsns.2007.11.004zbMath1221.65266OpenAlexW2073637126MaRDI QIDQ716602

R. S. Temsah

Publication date: 30 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2007.11.004

zbMATH Keywords

convectionBurgers equationnumerical solutionsdiffusion equationsChebyshev spectral collocation methodmodified Burgers equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (9)

Numerical solutions of the modified Burgers' equation by finite difference methods ⋮ A fourth-order numerical scheme for solving the modified Burgers equation ⋮ A Haar wavelet-finite difference hybrid method for the numerical solution of the modified Burgers' equation ⋮ Numerical solutions of the modified Burgers equation by a cubic B-spline collocation method ⋮ A RBF partition of unity collocation method based on finite difference for initial-boundary value problems ⋮ A mollification based operator splitting method for convection diffusion equations ⋮ A numerical scheme for a class of generalized Burgers' equation based on Haar wavelet nonstandard finite difference method ⋮ Numerical approximations of Sturm–Liouville eigenvalues using Chebyshev polynomial expansions method ⋮ A Comparative Study of a Haar Wavelet Method and a Restrictive Taylor's Series Method for Solving Convection-diffusion Equations

Cites Work

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• A new explicit method for the diffusion-convection equation
• Resolution of downstream boundary layers in the Chebyshev approximation to viscous flow problems
• A numerical solution of the Burgers' equation using cubic B-splines
• A numerical solution of the Burgers' equation using septic \(B\)-splines
• A finite difference approach for solution of Burgers' equation
• A numerical solution of Burgers' equation based on least squares approximation
• Numerical treatment for the modified Burgers equation
• Spectral methods for some singularly perturbed problems with initial and boundary layers
• The numerical treatment of nonlinear parabolic partial differential equations governing convection-diffusion processes
• Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations
• Numerical approximations using Chebyshev polynomial expansions: El-gendi's method revisited
• Chebyshev Solution of Differential, Integral and Integro-Differential Equations

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