Year: 2019
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 1 : pp. 195–211
Abstract
A collocation method based on exponential B-splines for two-dimensional second-order non-linear hyperbolic equations is studied. The initial equation is split into a system of coupled equations, each of which is transformed into a system of ordinary differential equations. The corresponding differential equations are solved by SSP-RK(2,2) method. It is shown that the method under consideration is unconditionally stable. Numerical experiments demonstrate its efficiency and accuracy.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.280118.100518
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 1 : pp. 195–211
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Collocation method SSP-RK(2 2) telegraph equation tri-diagonal solver unconditional stability.