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Keywords:
generalized quasilinearization; periodic boundary value problems; rapid convergence
generalized quasilinearization; periodic boundary value problems; rapid convergence
Summary:
In this paper, we develop a generalized quasilinearization technique for a nonlinear second order periodic boundary value problem and obtain a sequence of approximate solutions converging uniformly and quadratically to a solution of the problem. Then we improve the convergence of the sequence of approximate solutions by establishing the convergence of order $k$ $(k\ge 2)$.
References:
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