Solution of Burgers’ Equation Using a Local-RBF Meshless Method

DOI10.1080/15502287.2010.540303zbMath1239.65064OpenAlexW1967344732MaRDI QIDQ3118288

Roohollah Hashemi, Bamdad Hosseini

Publication date: 2 March 2012

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15502287.2010.540303

zbMATH Keywords

numerical examplesBurgers' equationcollocationradial basis functionmeshless methodmeshlessShock waveStep-like initial conditions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Shock waves and blast waves in fluid mechanics (76L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (8)

An adaptive-hybrid meshfree approximation method ⋮ Numerical treatment of the modified Burgers' equation via backward differentiation formulas of orders two and three ⋮ An investigation of radial basis function-finite difference (RBF-FD) method for numerical solution of elliptic partial differential equations ⋮ A novel method to investigate nonlinear advection-diffusion processes ⋮ A local radial basis function method for advection-diffusion-reaction equations on complexly shaped domains ⋮ A numerical scheme based on compact integrated-RBFs and Adams-Bashforth/Crank-Nicolson algorithms for diffusion and unsteady fluid flow problems ⋮ Hybrid radial basis function methods of lines for the numerical solution of viscous Burgers' equation ⋮ Numerical solution of nonlinear Burgers' equation using high accuracy multi-quadric quasi-interpolation

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