Homotopy Perturbation Method for Solving Boussinesq and Fishers Type Equations

Fishers and Boussinesq equation is solved by introducing an unconventional procedure known as Homotopy Perturbation Method (HPM). This procedure is proposed for working out linear and non-linear partial differential equations. We have solved three examples of Fishers and two problems of Boussinesq equation by introducing the HPM and the consecutive solutions are thereby acquired. The swift approach into the precise method of HPM is numerically depicted. Conclusions depicts that the HPM is the most conclusive approach with an agreeable correctness to solve the above equations. As per the results, this method is a strong and reliable algorithm to constitute the correct solution of non-linear differential equations. One of the absolute benefits of this method on the decomposition technique is that HPM works out nonlinear uncertainty without using Adomian's polynomials Boussinesq equation.