An Algorithmic Approach To The Analysis Of Tridiagonal Matrices And Applications:- Ndatah Idara U

ABSTRACT x / I research work demonstrates the importance of tridiagonal matrices and their applications to ilution of differential equations in general. An example of a system of coupled oscillators is by an ordinary differential equation; a number of useful lemmas will be proven to establish alidity of our approach. An example to show how tridiagonal matrices arise naturally in the mics of coupled systems involving n equal masses attached to a string equidistant from each is considered. An efficient computer-aided designed program for computing the inverse of tridiagonal matrix is presented, a two-point boundary-value problem which describes the ly state phenomenon of temperature distribution in a rod is also considered and the rning equation of this boundary value problem is discretized using central differences. A nd order non linear equation is also solved using the Newton’s iterative scheme.ithe erical solutions is obtained by implementing the MathCAD inversion algorithm; and results >th cases are analyzed