Intended for graduate students in Mathematics and Physics, this book contains an extensive illustration of the use of finite-difference method in numerically solving boundary ...

The use of information technology in addition to traditional lectures affords a means to develop student intuition and curiosity, reaching in the same time a deep knowledge ...

Mathematica 4.1 extends the technologies and advances pioneered by Wolfram Research, Inc. in Mathematica 4. Enhaneed solvers, functions and an improved pattern matcher and ...

The notebook computes the first and second derivative matrices using shifted Legendre polynomials (Finlayson, The method of Weighted Residuals and Variational Principles, ...

The MathOptimizer Professional software package combines Mathematica's modeling capabilities with an external solver suite for general nonlinear, global and local, ...

A new half-explicit Runge-Kutta method for the numerical integration of differential-algebraic systems of index 2 is constructed. It is particularly efficient for the ...

Differential Equations with Mathematica, Fourth Edition is a supplementing reference which uses the fundamental concepts of the popular platform to solve (analytically, ...

A wide variety of chemical reactions can be modeled with coupled (often nonlinear) differential equations. These equations describe the time evolution of the concentrations ...

Adomian Decomposition methods (ADM) is am approximation method which can be adapted to solve nonlinear partial differential equations. In this paper, we solve the KdV and the ...