An Efficient Method for Solving Linear and Nonlinear System of Partial Differential Equations
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 20, Issue 1
Abstract
In this paper, Aboodh transform which is based on the Adomian decomposition method (AADM) is introduced for the approximate solution of the linear and nonlinear systems of partial differential equations. This method is very powerful and efficient techniques for solving different kinds of linear and nonlinear System of PDEs. The result reveals that the proposed method is very efficient, simple and can be applied to linear and nonlinear problems.
Authors and Affiliations
Mohand M. Abdelrahim Mahgoub, Abdelilah K. Hassan Sedeeg
General Version of Gauss-type Proximal Point Method and Its Uniform Convergence Analysis for Metrically Regular Mappings
We study the uniform convergence of the general version of Gauss-type proximal point algorithm (GG-PPA), introduced by Alom et al. [1], for solving the parametric generalized equations y ∈ T(x), where T : X 2Y is a set...
Generalized Hyers-Ulam Stability of a Cubic reciprocal Functional Equation
In this paper, we obtain the generalized Hyers-Ulam stability of a new cubic reciprocal functional equation of the form f(2x + y) + f(2x − y) = 4f(x)f(y) [ 4f(y) + 3f(x) 2 3 f(y) 1 3 ] ( 4f(y) 2 3 − f(x) 2 3 )3 in non-Ar...
MHD Forced Convective Flow of Micropolar Fluids Past a Moving Boundary Surface with Prescribed Heat Flux and Radiation
The forced convective boundary layer flow of electrically conducting micropolar fluids has been investigated in the presence of magnetic field applied in the normal direction of a sheet that shrinks or stretches horizont...
Some Stationary Solutions of Schrodinger Map Equation
In this paper, we construct a type of plane wave solution of Landau-Lifshitz equation with the model |u| = 1. In addition, we discover the law which when the spin vector u is moving along one direction, the spin vector u...
Population Dynamics in Optimally Controlled Economic Growth Models: Case of Cobb-Douglas Production Function
In this paper, we discuss optimally controlled economic growth models with Cobb-Douglas aggregate production function, comparing real per capita income performance in scenarios where the labour (population) growth dynami...