The following method is used to obtain approximate solutions to IVPS Wo =a Wi+1=W; w,) +...

  

Transcribed Image Text:

The following method is used to obtain approximate solutions to IVPS Wo =a Wi+1=W; w,) + 1= 0, 1, .N-1. The generalization of this method to obtain approximate solutions to systems of first- order equations is a. W10=a1, W2.0=a2 ...., Wm.0=am W.W2.p..., Wm.)+ %3D 3f,(t,+ h, w. +h f,t,w W2.j *.. Wm.j Wm.ithf,w,W2.j Wm.); i= 1, 2,.., m ..... j=0, 1,.., N-1 O b. W0=a1, W2,0 d2. .... , Wm.0=dm !! W+1 W W2.** W ..... W 3 j= 1, 2,., m j=0, 1,.., N-1 17 W m.0 am Wm.) + +. W+1=W !! ...... W. W W mil 3 j= 1, 2,.., m j=0. 1...., N-1 Od W.a, W 2.0 2 . w m.0 +,w., Waj, Wm)+ 2. h. m. |=1, 2..... m j= 0, 1,.., N-1 The following method is used to obtain approximate solutions to IVPS Wo =a Wi+1=W; w,) + 1= 0, 1, .N-1. The generalization of this method to obtain approximate solutions to systems of first- order equations is a. W10=a1, W2.0=a2 ...., Wm.0=am W.W2.p..., Wm.)+ %3D 3f,(t,+ h, w. +h f,t,w W2.j *.. Wm.j Wm.ithf,w,W2.j Wm.); i= 1, 2,.., m ..... j=0, 1,.., N-1 O b. W0=a1, W2,0 d2. .... , Wm.0=dm !! W+1 W W2.** W ..... W 3 j= 1, 2,., m j=0, 1,.., N-1 17 W m.0 am Wm.) + +. W+1=W !! ...... W. W W mil 3 j= 1, 2,.., m j=0. 1...., N-1 Od W.a, W 2.0 2 . w m.0 +,w., Waj, Wm)+ 2. h. m. |=1, 2..... m j= 0, 1,.., N-1