Approximate solution of nonlinear differential system with time variation

Authors

  • Rezaul Karim Department of Mathematics, Faculty of Science, Mawlana Bhashani Science and Technology University, Tangail, Bangladesh
  • Pinakee Dey Department of Mathematics, Faculty of Science, Mawlana Bhashani Science and Technology University, Tangail, Bangladesh
  • Saikh Shahjahan Miah Department of Mathematics, Faculty of Science, Mawlana Bhashani Science and Technology University, Tangail, Bangladesh

DOI:

https://doi.org/10.3329/jbas.v44i2.51456

Keywords:

Approximate solution, Nonlinear differential systems, KBM method, Struble’s technique, Time variation

Abstract

this paper develops a reliable algorithm based on the general Struble’s technique and extended KBM method for solving nonlinear differential systems. Moreover, we find a solution based on the KBM and general Struble’s technique of nonlinear autonomous systems with time variation, which is more powerful than the existing perturbation method. Finally, results are discussed, primarily to enrich the physical prospects, and shown graphically by utilizing MATHEMATICA and MATLAB software.

Journal of Bangladesh Academy of Sciences, Vol. 44, No. 2, 121-130, 2020

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Published

2021-01-19

How to Cite

Karim, R., Dey, P., & Miah, S. S. (2021). Approximate solution of nonlinear differential system with time variation. Journal of Bangladesh Academy of Sciences, 44(2), 121–130. https://doi.org/10.3329/jbas.v44i2.51456

Issue

Vol. 44 No. 2 (2020)

Section

Research Articles