A weighted algorithm based on Adomian decomposition method for solving an special class of evolution equations

A Shidfar, M Garshasbi - … in Nonlinear Science and Numerical Simulation, 2009 - Elsevier
A particular PDE having nonlinear advection, diffusion and reaction subject to initial and
boundary conditions is investigated by using an algorithm based on Adomian …

Numerical approximation of solution of an inverse heat conduction problem based on Legendre polynomials

A Shidfar, R Pourgholi - Applied Mathematics and Computation, 2006 - Elsevier
In this paper, we consider an inverse heat conduction problem (IHCP). The given heat
conduction equation, the boundary condition, and the initial condition are presented in a …

On the Successive Linearisation Approach to the Flow of Reactive Third‐Grade Liquid in a Channel with Isothermal Walls

SS Motsa, OD Makinde… - Mathematical Problems in …, 2013 - Wiley Online Library
The nonlinear differential equations modeling flow of a reactive third‐grade liquid between
two parallel isothermal plates is investigated using a novel hybrid of numerical‐analytical …

A series solution of nonlinear injection–extraction well equation

A Shidfar, P Reihani - … in Nonlinear Science and Numerical Simulation, 2010 - Elsevier
In this paper, the groundwater flow will be investigated. The tracer concentration is
calculated for the saturated–unsaturated aquifer. A nonlinear diffusion equation is derived in …

[PDF][PDF] Application of Adomian decomposition method to solve a class of diffusion problem arises during MRI

K Nouri, M Garshasbia, J Damirchi - Mathematical Sciences, 2008 - researchgate.net
This paper deals with a class of nonlinear diffusion equation subject to initial and boundary
conditions which arises during Magnetic Resonance Imaging (MRI) process. Our interest …

A numerical study of the mathematical model of flow in the petroleum reservoirs

PR Ardabili - Applied Mathematics and Computational …, 2013 - ejournal.unimap.edu.my
This paper concerns with the solution of a nonlinear, degenerate, convectiondiffusion
problem describing two-phase flow in porous media. A numerical procedure based on …

[PDF][PDF] Research Article On the Successive Linearisation Approach to the Flow of Reactive Third-Grade Liquid in a Channel with Isothermal Walls

SS Motsa, OD Makinde, S Shateyi - 2013 - academia.edu
The nonlinear differential equations modeling flow of a reactive third-grade liquid between
two parallel isothermal plates is investigated using a novel hybrid of numerical-analytical …

[引用][C] A Modified Series Solution of a Structure Based Model of NO Diffusion in the Nervous System

P Reihani - International Journal of Nonlinear Science, 2013