Solution of linear and nonlinear parabolic equations by the decomposition method
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Publication:1765813
DOI10.1016/j.amc.2004.01.005zbMath1063.65111OpenAlexW2045484398MaRDI QIDQ1765813
M. Boulmalf, Abdelaziz Soufyane
Publication date: 23 February 2005
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2004.01.005
Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order parabolic equations (35K15)
Related Items (9)
Exact solutions to one dimensional non-homogeneous parabolic problems by the homogeneous Adomian decomposition method ⋮ The decomposition method for linear, one-dimensional, time-dependent partial differential equations ⋮ Solving linear and nonlinear initial value problems by the projected differential transform method ⋮ The decomposition method for initial value problems ⋮ One-phase inverse Stefan problem solved by Adomian decomposition method ⋮ Harmonic wave generation in nonlinear thermoelasticity by variational iteration method and Adomian's method ⋮ Comparison differential transformation technique with adomian decomposition method for linear and nonlinear initial value problems ⋮ Numerical methods for heat equation with variable coefficients ⋮ Comparing the Adomian decomposition method and the Runge–Kutta method for solutions of the Stefan problem
Cites Work
- Solving frontier problems of physics: the decomposition method
- Exact solutions for heat-like and wave-like equations with variable coefficients.
- A new algorithm for calculating Adomian polynomials for nonlinear operators
- Convergence of Adomian’s method applied to integral equations
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