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|Title:||An A-stable extended trapezoidal rule for the integration of ordinary differential equations|
|Citation:||Usmani, R.A.,Agarwal, R.P. (1985-12). An A-stable extended trapezoidal rule for the integration of ordinary differential equations. Computers and Mathematics with Applications 11 (12) : 1183-1191. ScholarBank@NUS Repository.|
|Abstract:||We examine a single-step implicit-integration algorithm which is obtained by a modification of the well-known trapezoidal rule. The obtained new method is a third-order numerical process and preserves the property of A-stability of the trapezoidal rule. Numerical examples involving stiff linear systems of first-order differential equations are also included to demonstrate the practical usefulness of this new integration procedure. © 1985.|
|Source Title:||Computers and Mathematics with Applications|
|Appears in Collections:||Staff Publications|
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