THE HOMO SEPARATION ANALYSIS METHOD FOR SOLVING THE PARTIAL DIFFERENTIAL EQUATION
Keywords:
homotopy analysis method, separation of variables, partial differential equations, analytical method, Black-scholes equationAbstract
In this work, the homo separation analysis method (HSAM) is applied to obtain the exact solution for linear and nonlinear partial differential equation. The proposed algorithm presents a procedure of constructing the set of base functions and gives the one-order deformation equation in a simple form. This analytical method is a combination of the homotopy analysis method (HAM) with the separation of variables method. The exact solution is constructed by choosing an initial guess in addition to only one term of the series obtained by HAM. This work verifies the validity and the potential of the HSAM for the study of nonlinear partial differential equation.
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Copyright (c) 2018 M. Zuriqat
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
