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Lipschitz Solutions and Iterative Methods by mekourazeispoly is a document available to read on EtoBox.

What is Lipschitz Solutions and Iterative Methods about?

1) The document presents the method of successive approximations to solve differential equations of the form dy/dx = f(x,y) where f is Lipschitz continuous. 2) It shows that if f is Lipschitz continuous on an interval [a,b] with constant K satisfying K(b-a)<1, then there exists a unique solution on [a,b]. 3) The solution is given by the limit of a sequence of successive approximations starting from an initial function φ0(x), where φn+1(x) is defined by integrating φn(x).

Author

mekourazeispoly

Language

EN