Homotopy perturbation Sumudu transform method for solving nonlinear boundary value problems
Homotopy perturbation Sumudu transform method for solving nonlinear boundary value problems
复制标题
求解非线性边值问题的同伦摄动Sumudu变换方法
DOI：
10.1063/1.5041640
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Z. Zainuddin
中科院分区：
文献类型：
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作者：
Asem Al;Z. Zainuddin
同伦摄动Sumudu变换方法（HPSTM）是求解级数形式的非线性微分方程的一种解析方法。该技术是由同伦扰动（HP）和Sumudu变换（ST）相结合的方法。该方法避免了舍入误差，且求解时不需要任何限制性假设或离散化。通过对近似解、同伦扰动Sumudu变换、同伦扰动拉普拉斯变换（HPLTM）解与精确解的图形比较，发现所得到的解具有很高的精度，这表明了HPLTM是非常有效的。同伦摄动Sumudu变换法（HPSTM）是一种新的非线性边值问题的求解方法，它具有结构简单、计算量小、收敛速度快等优点，可用于求解其它类型的非线性边值问题。是一种求非线性微分方程级数解的解析方法。该技术是由同伦扰动（HP）和Sumudu变换（ST）相结合的方法。该方法避免了舍入误差，且求解时不需要任何限制性假设或离散化。通过对近似解、同伦扰动Sumudu变换、同伦扰动拉普拉斯变换（HPLTM）解与精确解的图形比较，发现所得到的解具有很高的精度，这表明HPLTM是一种非常有效、简单的方法，可用于求解其它类型的非线性边值问题。
The homotopy perturbation Sumudu transform method (HPSTM) is an analytical method to find the solutions of nonlinear differential equations in a series form. This technique was developed by combining homotopy perturbation (HP) and Sumudu Transform (ST) methods. Intrinsically, the present scheme avoids the round-off errors and finds the solution without any restrictive assumptions or discretization. After comparing figures between approximate, homotopy perturbation Sumudu transform, homotopy perturbation Laplace transform (HPLTM) and exact solutions, it is found through the solutions we have obtained that they are of high accuracy, thus, this indicates that the HPSTM is very effective, simple and can be used to solve other types of nonlinear boundary value problems (BVPs).The homotopy perturbation Sumudu transform method (HPSTM) is an analytical method to find the solutions of nonlinear differential equations in a series form. This technique was developed by combining homotopy perturbation (HP) and Sumudu Transform (ST) methods. Intrinsically, the present scheme avoids the round-off errors and finds the solution without any restrictive assumptions or discretization. After comparing figures between approximate, homotopy perturbation Sumudu transform, homotopy perturbation Laplace transform (HPLTM) and exact solutions, it is found through the solutions we have obtained that they are of high accuracy, thus, this indicates that the HPSTM is very effective, simple and can be used to solve other types of nonlinear boundary value problems (BVPs).