Shifted Jacobi spectral-Galerkin method for solving hyperbolic partial differential equations
Date
2019-08
Authors
Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Series Info
COMPUTERS & MATHEMATICS WITH APPLICATIONS;Volume: 78 Issue: 3 Pages: 889-904
Scientific Journal Rankings
Abstract
Herein, we propose a numerical scheme to solve spectrally hyperbolic partial differential equations (HPDEs) using Galerkin method and approximate the solutions using double shifted Jacobi Polynomials. The main characteristic behind this approach is that it reduces such problems to those of solving systems of algebraic equations which greatly simplifies the problem. The validity and efficiency of the proposed method are investigated and verified through several examples. (C) 2019 Elsevier Ltd. All rights reserved.
Description
Accession Number: WOS:000473376400013
Keywords
University for SYSTEM, COLLOCATION METHOD, TELEGRAPH EQUATION, VARIABLE-COEFFICIENTS, NUMERICAL-SOLUTION, GAUSS-RADAU SCHEME, Galerkin method, Shifted Jacobi polynomials, Hyperbolic partial differential equations