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One-step methods for the numerical solution of linear differential equations based upon Lobatto quadrature formulae

Published online by Cambridge University Press:  09 April 2009

K. D. Sharma
K. D. Sharma
Affiliation:
Department of Computer ScienceUniversity of ManchesterManchester Department of MathematicsIndian Institute of TechnologyHauz Khas, New Delhi-29, India
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The necessity of accurate numerical approximations to the solutions of differential equations governing physical systems has always been an important problem with scientists and engineers. Hammer and Hollingsworth [11] have used Gaussian quadrature for solving the linear second order differential equations. This method has been further developed by Morrison and Stoller [3], Korganoff [1], Kuntzman [9], Henrici [12] and Day [7, 8]. Quadrature methods based upon Lobatto quadrature formulae have recently been considered by Day [6, 8] and Jain and Sharma [10] and seem to give better results.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 11 , Issue 1 , February 1970 , pp. 115 - 128
Copyright
Copyright © Australian Mathematical Society 1970

References

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