The Solution of the Variable Coefficients Fourth-Order Parabolic Partial Differential Equations by the Homotopy Perturbation Method

In the present paper, the approximate analytical solutions of a general diffusion equation with fractional time derivative in the presence of an absorbent term and a linear

In the present paper, the approximate analytical solutions of a general diffusion equation with fractional time derivative in the presence of an absorbent term and a linear

a Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, 14778, Iran.. b Department of Computer Sciences, Tarbiat Moallem University, Tehran

Con- sequently, it is found that as long as the series so- lution for the wave speed p is convergent, the cor- responding series solution for w ( ξ ) is also conver- gent..

The discretized modified Korteweg- de Vries (mKdV) lattice equation and the discretized nonlinear Schr¨odinger equation are taken as examples to illustrate the validity and the

The approximate and/or exact solutions of the generalized Klein-Gordon- and sine-Gordon-type equations are obtained. We introduce a new type of initial conditions to extend the class

The purpose of the presented paper is to extend the class of solvable Klein-Gordon- and sine-Gordon-type equations by introducing the new type of initial con- ditions.. We apply

and parabolic partial differential equations subject to temperature overspecification [26], the second kind of nonlinear integral equations [27], nonlinear equations arising in