Add to ORKGA five-point finite-difrerence procedure is presented which can be used to solve partial differential equations involving time or time-like derivatives and two spatial conditions (i.e. parabolic partial differential equations). Fourth-order accuracy is obtained by approximating the time derivative by five-point central finite differences and solving the resulting system of equations implicitly. The 1- and 2-D diffusion equations are solved to illustrate the procedure
The first chapter of the thesis is concerned with the construction of finite difference approximatio...
AbstractLet Lh be the five-point finite difference operator which has O(h2) local truncation error a...
We report a new numerical algorithm for solving one-dimensional linear parabolic partial differentia...
A five-point finite-difrerence procedure is presented which can be used to solve partial differentia...
The thesis commences with a description and classification of partial differential equations and the...
In this project we present finite difference methodologies (FD) to solve a one-dimensional parabolic...
This paper is concerned with finding the solutions to a particular type of partial differential equa...
Methods for comparing the accuracy of numerical methods for the solution of parabolic partial differ...
In this thesis, we discuss the numerical solution of ordinary differential equation and numerical me...
In this chapter we discuss the finite difference methods for linear partial differential equa-tions....
We propose a finite difference scheme for the diffusion equation, ( *) ut = d(u)Δu + f(μ), on a gene...
Abstract:- In this paper, an extention of the Crank-Nicholson method for solving parabolic equations...
AbstractNonclassical parabolic initial-boundary value problems arise in the study of several importa...
AbstractAn algorithm for the solution of nonlinear systems of parabolic partial differential equatio...
In this paper, some five-point finite difference schemes for steady convection-diffusion problems ar...
The first chapter of the thesis is concerned with the construction of finite difference approximatio...
AbstractLet Lh be the five-point finite difference operator which has O(h2) local truncation error a...
We report a new numerical algorithm for solving one-dimensional linear parabolic partial differentia...
A five-point finite-difrerence procedure is presented which can be used to solve partial differentia...
The thesis commences with a description and classification of partial differential equations and the...
In this project we present finite difference methodologies (FD) to solve a one-dimensional parabolic...
This paper is concerned with finding the solutions to a particular type of partial differential equa...
Methods for comparing the accuracy of numerical methods for the solution of parabolic partial differ...
In this thesis, we discuss the numerical solution of ordinary differential equation and numerical me...
In this chapter we discuss the finite difference methods for linear partial differential equa-tions....
We propose a finite difference scheme for the diffusion equation, ( *) ut = d(u)Δu + f(μ), on a gene...
Abstract:- In this paper, an extention of the Crank-Nicholson method for solving parabolic equations...
AbstractNonclassical parabolic initial-boundary value problems arise in the study of several importa...
AbstractAn algorithm for the solution of nonlinear systems of parabolic partial differential equatio...
In this paper, some five-point finite difference schemes for steady convection-diffusion problems ar...
The first chapter of the thesis is concerned with the construction of finite difference approximatio...
AbstractLet Lh be the five-point finite difference operator which has O(h2) local truncation error a...
We report a new numerical algorithm for solving one-dimensional linear parabolic partial differentia...