The Method of Generalized Quasilinearization and Higher Order of Convergence for Second-Order Boundary Value Problems
نویسنده
چکیده
The generalized quasilinearization method for second-order boundary value problem has been extended when the forcing function is the sum of two functions without require that any of the two functions involved to be 2-hyperconvex or 2-hyperconcave. Two sequences are developed under suitable conditions which converge to the unique solution of the boundary value problem. Furthermore, the convergence obtain here is of order 3.
منابع مشابه
Generalized Quasilinearization Methodand Higher Order of Convergence for Second-order Boundary Value Problems
The method of generalized quasilinearization for second-order boundary value problems has been extended when the forcing function is the sum of 2-hyperconvex and 2-hyperconcave functions. We develop two sequences under suitable conditions which converge to the unique solution of the boundary value problem. Furthermore, the convergence is of order 3. Finally, we provide numerical examples to sho...
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