کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5471357 1519392 2017 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Laplace transform-homotopy perturbation method with arbitrary initial approximation and residual error cancelation
ترجمه فارسی عنوان
روش تحریف لاپلاس-هموتوپوپی با تقریب اولیه دلخواه و لغو خطای باقی مانده
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
چکیده انگلیسی


- A modified Laplace transform homotopy perturbation method (MLT-HPM) is presented.
- MLT-HPM improves the accuracy of approximate solutions obtained by other methods.
- MLT-HPM is employed to study some cases of nonlinear perturbative problems.
- MLT-HPM introduces a suitable initial approximation.
- MLT-HPM proposes to cancel the residual error in several points of the interval.

This paper presents a modified Laplace transform homotopy perturbation method with finite boundary conditions (MLT-HPM) designed to improve the accuracy of the approximate solutions obtained by LT-HPM and other methods. To this purpose, a suitable initial approximation will be introduced, in addition, the residual error in several points of the interest interval (RECP) will be canceled. In order to prove the efficiency of the proposed method a couple of nonlinear ordinary differential equations with mixed boundary conditions, indeed, difficult to approximate, are proposed. The square residual error (S.R.E) of the proposed solutions will result to be of hundredths and tenths, requiring only a first order approximation of MLT-HPM, unlike LT-HPM, which will require more iterations for the same cases study.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 41, January 2017, Pages 180-194
نویسندگان
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