A new approach to the nonlinear advection problem: An application of the decomposition method

DOI10.1016/0096-3003(94)00182-4zbMath0838.65092OpenAlexW1985073491MaRDI QIDQ1907083

Abdul-Majid Wazwaz

Publication date: 3 June 1996

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

Full work available at URL: https://doi.org/10.1016/0096-3003(94)00182-4

zbMATH Keywords

decomposition methodAdomian polynomialsnonlinear parabolic (advection) equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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Cites Work

• A Fourier series method for the numerical solution of the nonlinear advection problem
• Noise terms in decomposition solution series
• Solving frontier problems of physics: the decomposition method
• Nonlinear equations with mixed derivatives
• A Fourier series method for the numerical solution of a class of parabolic partial differential equations
• A new approach to nonlinear partial differential equations