Several scientific and engineering applications are usually described as integral equations. A new approach for solving the type of linear nonlinear Fredholm equation second kind is proposed. Although many methods provide an analytic solution, there different types equations difficult to solve. Therefore, numerical used. have been converted unconstrained optimization problems find their approxi...

The main aim of this study is to construct an explicit form of an analytic solution of a multidimensional difference equation. To this end, we present a nonlinear Cournot duopoly model with unimodal reaction functions, show that its dynamical system is double logistic when the production externalities involved get stronger, and then give a constructive proof of the existence of an analytic solu...

The linear systems with separable matrices arising from the nite diierence discretization of constant-coeecient elliptic equations in rectangles are considered. A new direct method is proposed and analyzed for the approximate solution of general partial solution problems for such systems of grid equations. This method can be used also with quasiuniform discretization grids, whereas the earlier ...

Haque’s Approach with Mickens’ Iteration Method is used to find the exact analytic solution of nonlinear equation involving velocity times acceleration squared. A truncated Fourier series in different rhythms repetition steps. Our results are very close and our comparatively closer than others. method obtained around second-order angular frequency using Newton’s method. For some third-order (je...

In this paper, a hybrid technique based on the combining of differential transform approach, Laplace transformation, and Pade approximant is successfully implemented for solving Volterra Integro (VID) equations subject to appropriate conditions. The proposed method known as modified (MDTM) enlarges domain convergence with less computational time. One interesting features algorithm ability produ...