Add to ORKGSeries expressed in terms of Chebyshev polynomials are applied using Lie series to the iterative solution of ordinary differential equations. After a discussion of initial value problems, the method is then used to solve two-point boundary value problems and an improved method of shooting type is derived and tested
In this paper, we propose a simple and direct numerical procedure to obtain particular solutions for...
A Chebyshev series is an expansion in the basis of Chebyshev polynomials of the first kind. These se...
The first part of this thesis deals with the manipulation of orthogonal series with computer algebra...
Chebyshev polynomials are used to obtain accurate numerical solutions of ordinary and partial differ...
The Chebyshev collocation method has been proposed to solve the linear two-point boundary value prob...
The Chebyshev collocation method has been proposed to solve the linear two-point boundary value prob...
The numerical solution of ordinary differential equations will be the main topics discussed in the f...
In this thesis, we develop a method for finding approximate particular solutions for second order or...
A computational method based on Chebyshev series to rigorously compute solutions of initial and boun...
Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particula...
We consider in this paper an illustration of the modified variational iteration method (MVIM) as an ...
The asymptotic iteration method is used in order to solve the Chebyshev differential equations, and ...
By the use of the Chebyshev series, a direct computational method for solving the higher order nonli...
Approximation with respect to what is now known as the Chebyshev norm was proposed by Laplace (1799...
This paper presents a study on the use of Chebyshev’s method for solving secondorder equations with ...
In this paper, we propose a simple and direct numerical procedure to obtain particular solutions for...
A Chebyshev series is an expansion in the basis of Chebyshev polynomials of the first kind. These se...
The first part of this thesis deals with the manipulation of orthogonal series with computer algebra...
Chebyshev polynomials are used to obtain accurate numerical solutions of ordinary and partial differ...
The Chebyshev collocation method has been proposed to solve the linear two-point boundary value prob...
The Chebyshev collocation method has been proposed to solve the linear two-point boundary value prob...
The numerical solution of ordinary differential equations will be the main topics discussed in the f...
In this thesis, we develop a method for finding approximate particular solutions for second order or...
A computational method based on Chebyshev series to rigorously compute solutions of initial and boun...
Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particula...
We consider in this paper an illustration of the modified variational iteration method (MVIM) as an ...
The asymptotic iteration method is used in order to solve the Chebyshev differential equations, and ...
By the use of the Chebyshev series, a direct computational method for solving the higher order nonli...
Approximation with respect to what is now known as the Chebyshev norm was proposed by Laplace (1799...
This paper presents a study on the use of Chebyshev’s method for solving secondorder equations with ...
In this paper, we propose a simple and direct numerical procedure to obtain particular solutions for...
A Chebyshev series is an expansion in the basis of Chebyshev polynomials of the first kind. These se...
The first part of this thesis deals with the manipulation of orthogonal series with computer algebra...