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International Journal of Computer Mathematics Volume 65, 1997 - Issue 3-4
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Original Articles

Equality of partial solutions in the decomposition method for partial differential equations

Abdul-Majid Wazwaz Department of Mathematics and Computer Science, Saint Xavier University, Chicago, IL, 60655
Pages 293-308 | Received 12 Jun 1996, Published online: 19 Mar 2007

Citations (15)

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Abdul-Majid Wazwaz. (2000) The decomposition method For solving higher dimensional Initial boundary value problems of variable coefficients. International Journal of Computer Mathematics 76:2, pages 159-172.
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Articles from other publishers (14)

Tales V. Lisbôa & Rogério J. Marczak. (2020) Modified decomposition method applied to laminated thick plates in nonlinear bending. Communications in Nonlinear Science and Numerical Simulation 81, pages 105015.
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Tales de Vargas Lisbôa & Rogério José Marczak. (2019) A decomposition method for nonlinear bending of anisotropic thin plates. European Journal of Mechanics - A/Solids 74, pages 202-209.
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Lazhar Bougoffa. (2014) The Adomian Decomposition Method for Solving a Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue. The Scientific World Journal 2014, pages 1-7.
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Bougoffa Lazhar. (2014) On the Solutions of a Stefan Problem with Variable Latent Heat. Mathematical Problems in Engineering 2014, pages 1-5.
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Lazhar Bougoffa & Randolph C. Rach. (2013) Solving nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations by the Adomian decomposition method. Applied Mathematics and Computation 225, pages 50-61.
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Lazhar Bougoffa, Randolph C. Rach & Abdul-Majid Wazwaz. (2013) Solving nonlocal initial-boundary value problems for the Lotka–von Foerster model. Applied Mathematics and Computation 225, pages 7-15.
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Lazhar Bougoffa. (2013) An efficient method for solving nonlocal initial-boundary value problems for linear and nonlinear first-order hyperbolic partial differential equations. Journal of Applied Mathematics and Computing 43:1-2, pages 31-54.
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Lazhar Bougoffa & Randolph C. Rach. (2013) Solving nonlocal boundary value problems for first‐ and second‐order differential equations by the Adomian decomposition method. Kybernetes 42:4, pages 641-664.
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Emad H. Aly, Abdelhalim Ebaid & Randolph Rach. (2012) Advances in the Adomian decomposition method for solving two-point nonlinear boundary value problems with Neumann boundary conditions. Computers & Mathematics with Applications 63:6, pages 1056-1065.
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Luis Blanco-Cocom, Angel G. Estrella & Eric Avila-Vales. (2012) Solving delay differential systems with history functions by the Adomian decomposition method. Applied Mathematics and Computation 218:10, pages 5994-6011.
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Jun-Sheng Duan & Randolph Rach. (2011) A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations. Applied Mathematics and Computation 218:8, pages 4090-4118.
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D. Lesnic. (2006) The decomposition method for linear, one-dimensional, time-dependent partial differential equations. International Journal of Mathematics and Mathematical Sciences 2006, pages 1-29.
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Doǧan Kaya & Asif Yokus. (2002) A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations. Mathematics and Computers in Simulation 60:6, pages 507-512.
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M. Inc & Y. Cherruault. (2002) A new approach to solve a diffusion‐convection problem. Kybernetes 31:3/4, pages 536-549.
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