It is the major purpose of this thesis to propose finite difference techniques of improved accuracy for the numerical solution of ordinary differential equations, and for the numerical evaluation of definite integrals, the former problem being discussed in Chapter II, and the latter in Chapter IV. In Chapter III the stability of the formulae evolved in Chapter II is studied
Efficiency in solving differential equations is improved by increasing the order of a Taylor series ...
AbstractIn this paper, we introduce an algorithm and a computer code for numerical differentiation o...
This paper explores the use of the software package, Matlab and Excel in the implementation of the f...
This easy-to-read book introduces the basics of solving partial differential equations by means of f...
General n-point formulae for difference operators and their errors are derived in terms of elementar...
The traditional finite difference method has an important limitation in practical applications, whic...
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer S...
Contents I Basic Text 1 1 Finite difference approximations 3 1.1 Truncation errors . . . . . . . ...
textFinite-difference methods for computing the derivative of a function with respect to an independ...
This paper gives an introduction to nonstandard finite difference methods useful for the constructio...
Computational techniques for the numerical solution of ordinary differential equation
Recent investigations by Butcher have co-ordinated several aspects of the theory of, and techniques...
AbstractThe central role of difference equations and, principally, the role of their stability prope...
This paper discusses the development of efficient algorithms for a certain fractional differential e...
This thesis is concerned with the numerical solutions of initial value problems with ordinary differ...
Efficiency in solving differential equations is improved by increasing the order of a Taylor series ...
AbstractIn this paper, we introduce an algorithm and a computer code for numerical differentiation o...
This paper explores the use of the software package, Matlab and Excel in the implementation of the f...
This easy-to-read book introduces the basics of solving partial differential equations by means of f...
General n-point formulae for difference operators and their errors are derived in terms of elementar...
The traditional finite difference method has an important limitation in practical applications, whic...
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer S...
Contents I Basic Text 1 1 Finite difference approximations 3 1.1 Truncation errors . . . . . . . ...
textFinite-difference methods for computing the derivative of a function with respect to an independ...
This paper gives an introduction to nonstandard finite difference methods useful for the constructio...
Computational techniques for the numerical solution of ordinary differential equation
Recent investigations by Butcher have co-ordinated several aspects of the theory of, and techniques...
AbstractThe central role of difference equations and, principally, the role of their stability prope...
This paper discusses the development of efficient algorithms for a certain fractional differential e...
This thesis is concerned with the numerical solutions of initial value problems with ordinary differ...
Efficiency in solving differential equations is improved by increasing the order of a Taylor series ...
AbstractIn this paper, we introduce an algorithm and a computer code for numerical differentiation o...
This paper explores the use of the software package, Matlab and Excel in the implementation of the f...