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The method of generalized quasilinearization and higher order of convergence for second-order boundary value problems
2006
International Journal of Contemporary Mathematical Sciences
Preserved Fulltext
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.
doi:10.12988/ijcms.2006.06060
fatcat:mpsbxqlgvfaxxfqlmwvyhp5noq