A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations

Doǧan Kaya and Asif Yokus

Mathematics and Computers in Simulation (MATCOM), 2002, vol. 60, issue 6, 507-512

Abstract: In this study, the decomposition method for solving the linear heat equation and nonlinear Burgers equation is implemented with appropriate initial conditions. The application of the method demonstrated that the partial solution in the x-direction requires more computational work when compared with the partial solution developed in the t-direction but the numerical solution in the x-direction are performed extremely well in terms of accuracy and efficiency.

Keywords: Adomian’s decomposition method; Burgers equation; Partial solution; Parabolic partial differential equation (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:60:y:2002:i:6:p:507-512

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