On successive linearization method for differential equations with nonlinear conditions-Reference-Cited by-同舟云学术

On successive linearization method for differential equations with nonlinear conditions

Published:2021-03-17 Issue:0 Volume:0 Page:
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Khidir Ahmed A.¹,Aljohani Abdulrahman F.¹

Affiliation:

1. Department of Mathematics, Faculty of Sciences , University of Tabuk , P. O. Box 741 , Tabuk , Kingdom of Saudi Arabia

Abstract

Abstract This paper presents a new technique for solving linear and nonlinear boundary value problems subject to linear or nonlinear conditions. The technique is based on the blending of the Chebyshev pseudospectral method. The rapid convergence and effectiveness are verified by several linear and nonlinear examples, and results are compared with the exact solutions. Our results show a remarkable improvement in the convergence of the results when compared with exact solutions.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2019-0278/pdf

Reference37 articles.

1. J. Manafian and M. Lakestani, “Lump-type solutions and interaction phenomenon to the bidirectional Sawada–Kotera equation,” Pramana - J. Phys., vol. 92, p. 41, 2019. https://doi.org/10.1007/s12043-018-1700-4.

2. J. Manafian, “Novel solitary wave solutions for the (3 + 1)-dimensional extended Jimbo–Miwa equations,” Comput. Math. Appl., vol. 76, pp. 1246–1260, 2018. https://doi.org/10.1016/j.camwa.2018.06.018.

3. J. Manafian, B. Behnam Mohammadi-Ivatloo, and M. Abapour, “Lump-type solutions and interaction phenomenon to the (2+ 1)-dimensional Breaking Soliton equation,” Appl. Math. Comput., vol. 13, pp. 13–41, 2019. https://doi.org/10.1016/j.amc.2019.03.016.

4. S. P. Goqo, H. Mondal, P. Sibanda, and S. Motsa, “A multivariate spectral quasilinearisation method for entropy generation in a square cavity filled with porous medium saturated by nanofluid,” Case Stud. Therm. Eng., vol. 14, p. 100415, 2019. https://doi.org/10.1016/j.csite.2019.100415.

5. R. Behl, S. Amat, A. Magrenan, and S. Motsa, “An efficient optimal family of sixteenth order methods for nonlinear models,” J. Comput. Appl. Math., vol. 354, pp. 271–285, 2019. https://doi.org/10.1016/j.cam.2018.02.011.

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