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Boundary Value Problem
Hi, I have several boundary-value differential ordinary linear problems of second orden, like this: A[x]y''[x]+B[x]y'[x]+C[x]y[x]==F[x], x in [a, b], y[a]== ya, y'[b]+ C1 y[b]== C2 where A,B,C and F are analitic functions This equation has not an analitic solution. I am looking for a numerical solution with good precision. The Images of the functions move in [-10^22, 10^22], and x moves in [0, 10^-4]. May be for this reason, there are so many precision errors in the solution obtained for Multiple-Shooting and Finite-Differences Methods. I have also intended to solve it by the NDSolve (which uses the Gel'fandLokutsiyevskii chasing method), but the calculation is too expensive in time and without any result. What method do you advise? Which is the difference between Back-Shooting, Forward-Shooting and Multiple-Shooting Methods? What is the essence of the Gel'fandLokutsiyevskii chasing method? Could you recommend me any electronic bibliography in Internet? I am a cuban girl. English is not my language. Excuse my mistakes, please.