Abstract
Abstract Various order of implicit method has been formulated for solving initial value problems having an initial singular point. The method provides better result than those obtained by used implicit formulae developed based on Euler and Runge-Kutta methods. Romberg scheme has been used for obtaining more accurate result.
Highlights
Many approximate techniques [1,2,3,4,5,6] have been developed for handling complicated physical problems
Hasan et al [12,13,14,15,16] derived some implicit formulae for solving first and second order singular initial value problems based on the integral formulae derived in [17,18]
These implicit methods give more accurate results than those obtained by the implicit Euler, second, third and fourth- order implicit RungeKutta (RK) methods
Summary
Many approximate techniques [1,2,3,4,5,6] have been developed for handling complicated physical problems. Hasan et al [12,13,14,15,16] derived some implicit formulae for solving first and second order singular initial value problems based on the integral formulae derived in [17,18]. These implicit methods give more accurate results than those obtained by the implicit Euler, second, third and fourth- order implicit RungeKutta (RK) methods. Some suitable examples have been presented to illustrate these methods
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