Title of article
Some properties of band matrix and its application to the numerical solution one-dimensional Bratu's problem
Author/Authors
Jalilian, R. Department of Mathematics - Razi University, Kermanshah , Y. Jalilian, Y. Department of Mathematics - Razi University, Kermanshah , Jalilian, H. School of Mathematics - Iran University of Science and Technology Narmak
Pages
15
From page
175
To page
189
Abstract
A Class of new methods based on a septic non-polynomial spline function for
the numerical solution one-dimensional Bratu's problem are presented. The local truncation errors and the methods of order 2th, 4th, 6th, 8th, 10th, and 12th, are obtained. The inverse of some band matrixes are obtained which are required in proving the convergence analysis of the presented method. Associated boundary formulas are developed. Convergence analysis of these methods is discussed. Numerical results are given to illustrate the eciency of methods.
Keywords
Two-point boundary value problem , Non-polynomial spline , Convergence analysis , Bratu's problem
Journal title
Astroparticle Physics
Serial Year
2013
Record number
2436124
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