Add to ORKGCollocation with cubic splines is used as a method for solving Linear second order parabolic partial differential equations. The collocation method is shown to be equivalent to a finite difference method that is consistent with the differential equation and stable in the sense of Von Neumann. Results of numerical computations are given, as well as an application of the method to a moving boundary problem for the heat equation.Science, Faculty ofMathematics, Department ofGraduat
The following two types of problems in differential equations are investigated:(i) Second and sixth-...
We propose a collocation method based on multivariate polynomial splines over triangulation or tetra...
This paper is concerned with the numerical solution of the parabolic partial differential equation s...
Collocation with cubic splines is used as a method for solving Linear second order parabolic partial...
Wave equation is one of the second order of the linear hyperbolic equation. Telegraph equation as a ...
This paper provides an overview of the formulation, analysis and implementation of Spline collocatio...
This thesis presents a new class of collocation methods for the approximate numerical solution of li...
AbstractThe purpose of this paper is to examine a boundary element collocation method for some parab...
AbstractThis paper uses a cubic spline approximation to produce finite difference representations of...
We report a new numerical algorithm for solving one-dimensional linear parabolic partial differentia...
This thesis is concerned with the Numerical Solution of Partial Differential Equations. Initially so...
Numerical solutions of one-dimensional heat and advection-diffusion equations are obtained by colloc...
This paper is concerned with finding the solutions to a particular type of partial differential equa...
AbstractWe use uniform cubic polynomial splines to develop some consistency relations which are then...
AbstractThis paper provides an overview of the formulation, analysis and implementation of orthogona...
The following two types of problems in differential equations are investigated:(i) Second and sixth-...
We propose a collocation method based on multivariate polynomial splines over triangulation or tetra...
This paper is concerned with the numerical solution of the parabolic partial differential equation s...
Collocation with cubic splines is used as a method for solving Linear second order parabolic partial...
Wave equation is one of the second order of the linear hyperbolic equation. Telegraph equation as a ...
This paper provides an overview of the formulation, analysis and implementation of Spline collocatio...
This thesis presents a new class of collocation methods for the approximate numerical solution of li...
AbstractThe purpose of this paper is to examine a boundary element collocation method for some parab...
AbstractThis paper uses a cubic spline approximation to produce finite difference representations of...
We report a new numerical algorithm for solving one-dimensional linear parabolic partial differentia...
This thesis is concerned with the Numerical Solution of Partial Differential Equations. Initially so...
Numerical solutions of one-dimensional heat and advection-diffusion equations are obtained by colloc...
This paper is concerned with finding the solutions to a particular type of partial differential equa...
AbstractWe use uniform cubic polynomial splines to develop some consistency relations which are then...
AbstractThis paper provides an overview of the formulation, analysis and implementation of orthogona...
The following two types of problems in differential equations are investigated:(i) Second and sixth-...
We propose a collocation method based on multivariate polynomial splines over triangulation or tetra...
This paper is concerned with the numerical solution of the parabolic partial differential equation s...