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

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  • Kaya, Doǧan
  • Yokus, Asif

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.

Suggested Citation

  • Kaya, Doǧan & Yokus, Asif, 2002. "A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 60(6), pages 507-512.
    • Handle: RePEc:eee:matcom:v:60:y:2002:i:6:p:507-512
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    Cited by:

    1. Elgazery, Nasser S., 2008. "Numerical solution for the Falkner–Skan equation," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 738-746.
    2. Momani, Shaher, 2006. "Non-perturbative analytical solutions of the space- and time-fractional Burgers equations," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 930-937.
    3. Asıf Yokus & Hülya Durur & Hijaz Ahmad & Shao-Wen Yao, 2020. "Construction of Different Types Analytic Solutions for the Zhiber-Shabat Equation," Mathematics, MDPI, vol. 8(6), pages 1-16, June.

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