Homotopy Analysis Method for Solving System of Non-Linear Partial Differential Equations


  • Naveed Imran Department of Mathematics, HITEC College, Taxila Cantt. Pakistan https://orcid.org/0000-0003-2887-1097
  • Raja Mehmood Khan Department of Mathematics, HITEC College, Taxila Cantt. Pakistan




System of non-linear partial differential equations, Homotopy Analysis Method


This paper applies Homotopy Analysis Method (HAM) to obtain analytical solutions of system of non-linear partial differential equations. Numerical results clearly reflect complete compatibility of the proposed algorithm and discussed problems. Moreover, the validity of the present solution and suggested scheme is presented and the limiting case of presented findings is in excellent agreement with the available literature. The computed solution of the physical variables against the influential parameters is presented through graphs. Several examples are presented to show the efficiency and simplicity of the method.


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How to Cite

Imran, N., & Mehmood Khan , R. (2022). Homotopy Analysis Method for Solving System of Non-Linear Partial Differential Equations. International Journal of Emerging Multidisciplinaries: Mathematics, 1(2), 35–48. https://doi.org/10.54938/ijemdm.2022.01.2.30



Research Article