Spline-based numerical treatments of Bratu-type equations
نویسندگان
چکیده
Three different spline-based approaches for solving Bratu and Bratu-type equations are presented. The classical cubic spline collocation method, an adaptive spline collocation on nonuniform partitions, and an optimal collocation method are derived for solving Bratu-type equations. Numerical examples are presented to verify the efficiency and accuracy of these methods when compared to other numerical schemes. The fourth order of convergence for the optimal method is verified.
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