A single sweep AGE algorithm based on off-step discretization for the solution of viscous Burgers' equation on a variable mesh

DOI10.1007/s11786-014-0194-9zbMath1319.65067OpenAlexW2084499365MaRDI QIDQ2018664

Jyoti Talwar, Ranjan Kumar Mohanty

Publication date: 25 March 2015

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-014-0194-9

zbMATH Keywords

algorithmconvergenceBurgers' equationnumerical experimenttwo-point boundary value problemsvariable meshsingle sweep alternating group explicit iteration methodoff-step discretizationsecond-order nonlinear differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A family of variable mesh methods for the estimates of (d\(u\)/d\(r\)) and solution of non-linear two point boundary value problems with singularity
• A class of non-uniform mesh three point arithmetic average discretization for \(y^{\prime\prime} = f(x, y, y^{\prime}\) and the estimates of \(y^{\prime}\)
• Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for two-point nonlinear boundary value problems
• Two parameter age (tage) method for the solution of a tradiagonal linear system of equations
• Alternating Group Explicit Method For The Numerical Solution Of Non-Linear Singular Two-Point Boundary Value Problems Using A Fourth Order Finite Difference Method
• The solution of periodic parabolic equations by the coupled alternating group explicit (cage) iterative method
• Group explicit iterative methods for solving large linear systems
• Highly accurate two parameter CAGE parallel algorithms for non-linear singular two point boundary value problems
• The alternating group explicit (age) iterative method for solving parabolic equations i: 2-dimensional problems
• THE COUPLED REDUCED ALTERNATING GROUP EXPLICIT (CRAGE) METHOD∗
• Parallel strategies for linear systems of equations
• Iterative methods for solving non-linear two point boundary value problems

This page was built for publication: A single sweep AGE algorithm based on off-step discretization for the solution of viscous Burgers' equation on a variable mesh