The moving boundary problem is unique because it is a special nonlinear problem whose analytic solution is difficult to obtain. A few numerical and semi analytic methods such as the Homotopy ...

The valuation of wrong-way risk is a challenging task in the financial industry. In this article, Takayuki Sakuma applies the homotopy analysis method to semi-linear partial differential equations to ...

Abstract: Homotopy analysis method (HAM) is one of the well‐known semi‐analytical methods for solving various types of linear and nonlinear differential equations (ordinary as well as partial). This ...

ABSTRACT: In this study, we investigate a mathematical model that describes the growth dynamics of glial cells in glioma, formulated as a nonlinear partial differential equation with a ...