Non‐polynomial spline method for the solution of the dissipative wave equation

DOI10.1108/09615530910994441zbMath1231.65177OpenAlexW2001034169MaRDI QIDQ3113051

Talaat S. El Danaf, Faisal E. I. Abdel Alaal

Publication date: 7 February 2012

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/09615530910994441

zbMATH Keywords

polynomialsdifferential equationsnumerical analysisstability (control theory)

Mathematics Subject Classification ID

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

Related Items (5)

Non-polynomial B-spline and shifted Jacobi spectral collocation techniques to solve time-fractional nonlinear coupled Burgers' equations numerically ⋮ Numerical solution for the linear time and space fractional diffusion equation ⋮ Computational method for solving space fractional Fisher's nonlinear equation ⋮ Parametric spline functions for the solution of the one time fractional Burgers equation ⋮ Quintic hyperbolic nonpolynomial spline and finite difference method for nonlinear second order differential equations and its application

Cites Work

• Polynomial and nonpolynomial spline approaches to the numerical solution of second order boundary value problems
• A smooth approximation for the solution of a fourth-order boundary value problem based on nonpolynomial splines
• Spline methods for the solutions of hyperbolic equations
• Nonpolynomial spline approach to the solution of a system of third-order boundary-value problems
• Application of the Non-Polynomial Spline Approach to the Solution of the Burgers Equation'
• A class of methods based on a septic non-polynomial spline function for the solution of sixth-order two-point boundary value problems

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