id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-443	Yousif, Madeha Sh.; Kashiem, Bushra E.	Solving Linear Boundary Value Problem Using Shooting Continuous Explicit Runge-Kutta Method	2017	7	.pdf	application/pdf	1957	103	64	After these two trials, we linearly extrapolate for a third trial as follows:- )(*G slope Initialfor estimate edExtrapolat 1 12 12 1 RD RR GG − − − += (8) where R1=first result at endpoint (using G1) R2=second result at endpoint (using G2) Runge-Kutta Shooting Method for Solving TPBVP Consider the following second order TPBVP equations:- )()()()()( xhxyxgyxfxy =+′+′′ Subject to the boundary conditions where f, g, h are function and α , β are constant:- βα == )(,)( byay these equation changed into a first- order differential system:-       − +            =′ )( 0 )()( 10 2 1 xhy y xfxg y (9) with assume the initial condition 111 )(,)( G ab ayay = − − =′= αβα applying explicit and continuous Rung-Kutta steps, the result we compare the computed value with the given conditions at the other boundary.	cache/iajs-443.pdf	txt/iajs-443.txt