LINIERISASI ITERATIF PADA METODE BEDA HINGGA UNTUK MEYELESAIKAN MASALAH KONDISI BATAS DIRICHLET PERSAMAN DIFERENSIAL BIASA NON LINIER
DOI:
https://doi.org/10.47662/alulum.v13i1.850Keywords:
linearization, Dirichlet limits, differential equationsAbstract
Dirichlet boundary condition problems in nonlinear ordinary differential equations generally have to be worked out numerically by applying the concept of finite differences, producing a system of non-linear equations. The Newton and Broyden methods are very popular for solving a system of non-linear equations, but both require very long calculation times if the variables are on a large scale. The concept of iterative linearization of a system of non-linear equations produced by the finite difference method in a nonlinear differential equation, it will provide new insight into the problem of Dirichlet boundary conditions.
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