Numerical solution of Cauchy problem for second order nonlinear wave equation with changeable type in a class of discontinues functions.

DOI10.1016/S0096-3003(02)00736-1zbMath1033.65075MaRDI QIDQ1412615

Turhan Karaguler, Bahaddin Sinsoysal, Mahir A. Rasulov

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

algorithmsfinite difference methodNonlinear wave propagationShock wavessecond-order nonlinear wave equationTransconic flow

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) Finite difference methods applied to problems in fluid mechanics (76M20) Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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A New Method for Solving Transient Lossy Transmission Line Problem

Cites Work

• An efficient numerical method for solving the Korteweg-de Vries equation in a class of discontinuous functions
• Nonlinear partial differential equations in engineering. Vol. II
• Hyperbolic systems of conservation laws II
• Studies on two-dimensional transonic flows of compressible fluid. I
• Weak solutions of nonlinear hyperbolic equations and their numerical computation
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