Differential equations are the used in engineering, science and physics. The differential which have linear nonlinear equations. There many ways to solve problems. Transformation is a way find solutions such as Laplace transform, Elzaki transform Sumudu etc. In this research, Sadik applied equation use homotopy perturbation also present examples illustrate preciseness of method.

In this paper, we propose an efficient modification of a New Homotopy Perturbation Method (NHPM) to obtain approximate and exact analytical solutions of Partial Differential-Algebraic Equations (PDAEs). The NHPM is first applied to the PDAE to obtain the exact solution in convergent series form. To improve the solution obtained from NHPM’s truncated series, a post-treatment combining Laplace tr...

In this paper, we present a comparative analysis of non-reactive contaminant flow problem for constant initial concentration in two dimensions by homotopy-perturbation and Variational Iteration method. We provide an approximation of this equation using homotopy-perturbation transformation and solve the resulting linear equations analytically by homotopy-perturbation method (HPM) and Variational...

In this paper, we will study about Fractional-order partial differential equations in Mathematical Science and introduce analyse fractional calculus with an integral operator that contains the Caputo- Fabrizio’s fractional-order derivative. The advanced method is appropriate union of new transform named as ‘Mohand transform’ homotopy perturbation method. Some numerical examples are used to comm...

In recent years, numerous approaches have been applied for finding the solutions of functional equations. One of them is the optimal homotopy asymptotic method. In current paper, this method has been applied for obtaining the approximate solution of Fisher equation. The reliability of the method will be shown by solving some examples of various kinds and comparing the obtained outcomes with the ...