On the convergence of the restrictive Padé approximation to the exact solutions of IBVP of parabolic and hyperbolic types

DOI10.1016/j.amc.2004.01.023zbMath1063.65091OpenAlexW2076817920MaRDI QIDQ1765847

Xianqiang Yang

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.01.023

zbMATH Keywords

Finite differenceError boundsInitial-boundary value problemsParabolic and hyperbolic partial differential equationsRestrictive Padé approximation

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (1)

Comparison study between restrictive Taylor, restrictive Padé approximations and Adomian decomposition method for the solitary wave solution of the general KdV equation

Cites Work

• Restrictive Taylor's approximation for solving convection-diffusion equation.
• Restrictive Taylor's approximation for two dimensions initial boundary value problem for parabolic PDE.
• A restrictive Padé approximation for the solution of the generalized Fisher and Burger-Fisher equations
• Restrictive Chebyshev rational approximation and applications to heat-conduction problems.
• Unique solvability of restrictive Padé and restrictive Taylor's approximations
• Accelerating technique for implicit finite difference schemes for two dimensional parabolic partial differential equations
• Highly accurate method for solving initial boundary value problem for first order hyperbolic differential equations
• Restrictive taylor's approximation and parabolic partial differential equations
• Restrictive padé approximation and parabolic partial differential equations
• Restrictive Padé Approximation for the Solution of the SchröDinger Equation
• Highly accurate method for the convection-diffusion equation

This page was built for publication: On the convergence of the restrictive Padé approximation to the exact solutions of IBVP of parabolic and hyperbolic types