An asymptotic-numerical method for a time-dependent singularly perturbed system with turning points

Shao, Sally S. L.; Chin, R. C. Y.

doi:10.1002/(sici)1098-2426(199607)12:4<441::aid-num3>3.0.co;2-m

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Ham Applied To Bvps Of Large Parameter1

Introduction1

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2020

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Cited by 5 publications

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“…We give" the results of our approximation HAM with the WKB solution (3.3) in the following figures (Figs. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. In order to give an idea of the accuracy of the method, we also give the approximation HAM (n = 20)" with some approximations of lower order.…”

Section: Ham Applied To Bvps Of Large Parametermentioning

confidence: 99%

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The Homotopy Analysis Method in Turning Point Problems

Ahmed¹,

Al-Hayani²

2020

AL-Rafidain Journal of Computer Sciences and Mathematics

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In this paper, we used the homotopy analysis method to ordinary differential equations of type boundary value problems with a parameter representing turning points."To show the high accuracy of the solution results, we compare the numerical results applying the standard homotopy analysis method with the integral equation and the numerical solution of the Simpson and Trapezoidal rules."Also, we give the estimated order of convergence (local) and the global estimated order of convergence along the interval.

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Section: Ham Applied To Bvps Of Large Parametermentioning

confidence: 99%

“…In the literature, Al-Hayani and Casasùs [1] applied the Adomian decomposition method (ADM) to the boundary value problems (BVPs) with turning points. Several different approaches are currently under study [6][7][8]10], but we are not aware of other works of this type.…”

Section: Introductionmentioning

confidence: 99%