The emphasis of the book is given in how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, ...

This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with ...

In this article, the authors develop several discrete versions of term structure models and study their major properties. We demonstrate how to program and calibrate such ...

"Algebraic Programming" means programming based on the use of algebraic concepts, such as commutativity, associativity, and distributivity. It is a method of programming for ...

Some special solutions of the Toda lattice model with a transversal degree of freedom are obtained. With the aid of Mathematica and Wu elimination method, more explicit ...

The main aim of this manuscript is to obtain numerical solutions for the nonlinear model of interpersonal relationships with time fractional derivative. The variational ...

Simulations can be a useful tool to simplify the solution of decision problems. However, as typically practiced, simulation often leads to improperly formulated models. This ...

Lie group techniques provide a method to obtain solutions of partial differential equations and systems. Yet another Lie package, YaLie.m, is a Mathematica package that ...

A new, numerical framework for the approximation of solutions to matrix valued Riemann–Hilbert problems is developed, based on a recent method for the homogeneous Painlevé ...

The free vibrations of a circular plate having elastic constraints variable according to the angular co-ordinate are investigated. The non-uniform translational and ...