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Numerical integration formulas for solving the initial value problem of ordinary differential equations

Author(s)
Podisuk, Maitree
Sanprasert, Wannaporn
Date Issued
January 1, 2005
Type
Article
Abstract
In this paper, we will use four numerical integration formulas to solve the initial value problem of the ordinary differential equations by solving the integral equation instead of the ordinary differential equation. We will use these four formulas to find the numerical solutions of some examples and compare these results with the known Runge-Kutta formulas, Euler's formula, Goeken-Johnson formula and Wu's formula.
Citation
Wseas Transactions on Mathematics, 4(1), 34-39, 2005
Subjects

Goeken

Johnson

Midpoint

Runge-Kutta

Simpson

Trapezoidal

Wu

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