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Cubature method for the numerical solution of the characteristic initial value problem

uxy = f(x, y, u, ux, Uy)

Published online by Cambridge University Press:  09 April 2009

M. K. Jain  and
K. D. Sharma
M. K. Jain
Affiliation:
Department of MathematicsIndian Institute of TechnologyHauz Khas, New Delhi-29India
K. D. Sharma
Affiliation:
Department of MathematicsIndian Institute of TechnologyHauz Khas, New Delhi-29India
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The resemblance of the Goursat problem for the hyperbolic partial differential equations to the initial value problem for the ordinary differential equations has suggested the extension of many well known numerical methods existing for (1.2) to the numerical treatment of (1.1). Day [2] discusses the quadrature methods while Diaz [3] generalizes the simple Euler-method. Moore [6] gives an analogue to the fourth order Runge-Kutta-method and Tornig [7] generalizes the explicit and implicit Adams-methods.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 8 , Issue 2 , May 1968 , pp. 355 - 368
Copyright
Copyright © Australian Mathematical Society 1968

References

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