Numerical solution of linear and nonlinear hyperbolic telegraph type equations with variable coefficients using shifted Jacobi collocation method

Journal Article · Sat Sep 15 00:00:00 EDT 2018 · Computational and Applied Mathematics

DOI:https://doi.org/10.1007/S40314-018-0635-1· OSTI ID:22769202

Hafez, Ramy M., E-mail: [e-mail] ^[1]

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1. University of Tabuk, Department of Mathematics, Alwagjh University College (Saudi Arabia)

The telegraph equation is one of the important equations of mathematical physics. In this work, a spectral collocation scheme is proposed for the numerical solutions of one- and two-dimensional linear telegraph equations and telegraph equations with nonlinear forcing term. The homogeneous initial and boundary conditions are satisfied exactly by expanding the unknown variable using polynomial bases of functions which are built upon the Jacobi polynomials. The suggested scheme is successfully developed for the aforementioned problem with nonhomogeneous data. Extensive numerical experiments are presented to verify the efficiency of the proposed scheme.

• OSTI ID: 22769202
• Journal Information: Computational and Applied Mathematics, Vol. 37, Issue 4; Other Information: Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA); ISSN 0101-8205
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
BOUNDARY CONDITIONS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
POLYNOMIALS
TWO-DIMENSIONAL CALCULATIONS