An approximation to the solution of hyperbolic equations by Adomian decomposition method and comparison with characteristics method

DOI10.1016/j.amc.2004.04.005zbMath1060.65651OpenAlexW1964534334MaRDI QIDQ1774870

Niranjan Chakravarthy

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.04.005

zbMATH Keywords

comparison of methodsnumerical examplesmethod of characteristicsAdomian decomposition methodAdomian polynomialsHyperbolic equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Cites Work

• Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
• Solving frontier problems of physics: the decomposition method
• An alternate algorithm for computing Adomian polynomials in special cases
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