This book is a text for a one-semester course for upper-level undergraduates and beginning
graduate students in engineering, science, and mathematics. Prerequisites are a first course …

ABSTRACT A novel numerical technique is considered for the solution of a multi-term time-
fractional diffusion equation. The orthogonal spline collocation method is used for in space …

This paper provides an overview of the formulation, analysis and implementation of
orthogonal spline collocation (OSC), also known as spline collocation at Gauss points, for …

Using the classical treatment of the stimulated Raman-scattering process, we use a
theoretical model to simulate the operation of an n th-order cascaded Raman fiber laser. We …

MIRKDC is a FORTRAN 77 code widely used to solve boundary value problems (BVPs) for
ordinary differential equations (ODEs). A significant issue with this package and similar …

The solution of constrained motion planning is an important task in a wide number of
application fields. The real-time solution of such a problem, formulated in the framework of …

We provide an overview of matrix decomposition algorithms (MDAs) for the solution of
systems of linear equations arising when various discretization techniques are applied in the …

Alternating direction implicit (ADI) orthogonal spline collocation schemes are formulated and
analysed for a class of partial integro-differential equations of parabolic type. These …

We present a fast direct solver methodology for the Dirichlet biharmonic problem in a
rectangle. The solver is applicable in the case of the second order Stephenson scheme [JW …

Codes for solving systems of ordinary differential equations for use in the method of lines for
partial differential equations (PDEs) usually provide only a banded system solver. In this …