Year: 1993
Journal of Computational Mathematics, Vol. 11 (1993), Iss. 3 : pp. 193–204
Abstract
This paper is a sequel to [2]. A two parameter family of explicit and implicit schemes is constructed for the numerical solution of the degenerate hyperbolic equations of second order. We prove the existence and the uniqueness of the solutions of these schemes. Furthermore, we prove that these schemes are stable for the initial values and that the numerical solution is convergent to the unique generalized solution of the partial differential equation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1993-JCM-9318
Journal of Computational Mathematics, Vol. 11 (1993), Iss. 3 : pp. 193–204
Published online: 1993-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12