Article ID Journal Published Year Pages File Type
4630046 Applied Mathematics and Computation 2012 9 Pages PDF
Abstract

This study developed a high accuracy hybrid spline difference method, and deduced a difference equation that is very similar to finite difference method from the concept of spline difference. As validated by nonlinear Burgers’ equation, the concept of difference made the computational process as simple as the finite difference method, and easy to be implemented. The free parameters α→1/12α→1/12 and α→1/6α→1/6 were combined in the concept of spline hybrid, in order to increase the accuracy of the first and second derivatives of space from O(h2)O(h2) of finite difference method to the O(h4)O(h4). The accuracy was improved, and the numerical oscillation with the increase in parameter ReRe was improved greatly.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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