Generalized Quasilinearization Method for a Second Order Three Point Boundary-value Problem with Nonlinear Boundary Conditions
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The generalized quasilinearization technique is applied to obtain a monotone sequence of iterates converging uniformly and quadratically to a solution of three point boundary value problem for second order differential equations with nonlinear boundary conditions. Also, we improve the convergence of the sequence of iterates by establishing a convergence of order k.
CitationAhmad, B., Khan, R., & Eloe, P. W. (2002). Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions. Electronic Journal of Differential Equations, 2002(90), pp. 1-12.
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