Unified approach for solving initial valued and boundary valued ordinary differential equations using wavelet collocation method

机译：小波配点法求解初值和边值常微分方程的统一方法

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This article discusses approximation of solution for ordinary differential equation with wavelets. It presents a unified approach for wavelet collocation method; applied to solve both the initial valued problems as well as boundary valued problems. The method was found to give good agreement with the analytical solutions. We can directly solve the boundary valued problem as against the traditional shooting methods where the boundary valued problem itself is approximated by Initial valued problem and hence we achieve better accuracy with wavelet collocation methods.

机译：本文讨论了带有小波的常微分方程解的逼近。它提出了一种统一的小波配置方法。用于解决初始值问题和边界值问题。发现该方法与分析解决方案具有很好的一致性。与传统的射击方法相比，我们可以直接解决边界值问题，在传统的射击方法中，边界值问题本身可以通过初始值问题来近似，因此，我们可以通过小波配置方法获得更好的精度。

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《Nirma University International Conference on Engineering》|2013年|1-6|共6页
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Vakaskar D.C.; Mredula K.P.;
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Boundary valued problem; initial valued problem; numerical solution of ordinary differential equation; wavelet collocation method;

机译：边值问题;初值问题;常微分方程的数值解;小波配点法;

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4. Unified approach for solving initial valued and boundary valued ordinary differential equations using wavelet collocation method [C] . Vakaskar D.C., Mredula K.P. Nirma University International Conference on Engineering . 2013

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Unified approach for solving initial valued and boundary valued ordinary differential equations using wavelet collocation method

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