A further consideration of partial solutions in the decomposition method

DOI10.1016/0898-1221(92)90080-2zbMath0756.35012OpenAlexW2085323611MaRDI QIDQ1193132

G. Adomian, Randolph C. Rach

Publication date: 27 September 1992

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(92)90080-2

zbMATH Keywords

heat equationlinear operator equationimproper solutionpartial solution

Mathematics Subject Classification ID

Heat equation (35K05) Wave equation (35L05) Series solutions to PDEs (35C10) Initial value problems for second-order parabolic equations (35K15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (11)

Solving nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations by the Adomian decomposition method ⋮ Heat conduction with mixed derivatives ⋮ On series solution for second order semilinear parabolic IBVPs ⋮ An exact solution for variable coefficient fourth-order wave equation using the Adomian method ⋮ A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations ⋮ AN APPROPRIATE APPROACH TO PRICING EUROPEAN-STYLE OPTIONS WITH THE ADOMIAN DECOMPOSITION METHOD ⋮ Inhomogeneous nonlinear partial differential equations with variable coefficients ⋮ Modified decomposition solution of nonlinear partial differential equations ⋮ The restrictions and improvement of the Adomian decomposition method ⋮ Revisit on partial solutions in the Adomian decomposition method: solving heat and wave equations ⋮ Convergence of Adomian's decomposition method: periodic temperatures.

Cites Work

• Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations
• Transformation of series
• Unnamed Item

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