1. Journal Articles
Permanent URI for this collectionhttps://idr.nitk.ac.in/handle/1/6
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Item E-stable methods for exponentially decreasing solutions of second order initial value problems(1985) Ananthakrishnaiah, U.In this paper E-stable methods of O(h4), O(h8) and O(h12) are derived for the direct numerical integration of initial value problems of second order differential equations with exponentially decreasing solutions. Numerical results are presented for both linear and nonlinear problems. 1985 BIT Foundations.Item A fourth?order finite difference scheme for two?dimensional nonlinear elliptic partial differential equations(1995) Saldanha, G.; Ananthakrishnaiah, U.A finite difference scheme for the two?dimensional, second?order, nonlinear elliptic equation is developed. The difference scheme is derived using the local solution of the differential equation. A 13?point stencil on a uniform mesh of size h is used to derive the finite difference scheme, which has a truncation error of order h4. Well?known iterative methods can be employed to solve the resulting system of equations. Numerical results are presented to demonstrate the fourth?order convergence of the scheme. 1995 John Wiley & Sons, Inc. Copyright 1995 Wiley Periodicals, Inc.