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首页> 外文期刊>Applied Mathematical Modelling >Laplace transform-homotopy perturbation method with arbitrary initial approximation and residual error cancelation
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Laplace transform-homotopy perturbation method with arbitrary initial approximation and residual error cancelation

机译：具有任意初始逼近和残差消除的拉普拉斯变换同伦摄动方法

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摘要

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.
机译：本文提出了一种改进的具有有限边界条件（MLT-HPM）的Laplace变换同伦摄动方法，旨在提高LT-HPM等方法获得的近似解的准确性。为此目的，将引入适当的初始近似，此外，将消除兴趣间隔（RECP）几个点中的残留误差。为了证明所提方法的有效性，提出了一对具有混合边界条件的非线性常微分方程，确实难以近似。提出的解决方案的平方残留误差（S.R.E）将达到百分之一和十分之一，与LT-HPM不同，对于同一个案例研究，仅需要一阶近似MLT-HPM，而LT-HPM则需要更多迭代。

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  • 来源
    《Applied Mathematical Modelling》 |2017年第1期|180-194|共15页
  • 作者

    U. Filobello-Nino; H. Vazquez-Leal; A. Sarmiento-Reyes; J. Cervantes-Perez; A. Perez-Sesma; V.M. Jimenez-Fernandez; D. Pereyra-Diaz; J. Huerta-Chua; L.J. Morales-Mendoza; M. Gonzalez-Lee; F. Castro-Gonzalez;

  • 作者单位

    Electronic Instrumentation and Atmospheric Sciences School Universidad Veracruzana, Circuito Gonzalo Aguirre Beltran S/N, Xalapa 91000, Veracruz, Mexico;

    Electronic Instrumentation and Atmospheric Sciences School Universidad Veracruzana, Circuito Gonzalo Aguirre Beltran S/N, Xalapa 91000, Veracruz, Mexico;

    National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro 1, Santa Maria Tonantzintla 72840, Pueblo, Mexico;

    Electronic Instrumentation and Atmospheric Sciences School Universidad Veracruzana, Circuito Gonzalo Aguirre Beltran S/N, Xalapa 91000, Veracruz, Mexico;

    Electronic Instrumentation and Atmospheric Sciences School Universidad Veracruzana, Circuito Gonzalo Aguirre Beltran S/N, Xalapa 91000, Veracruz, Mexico;

    Electronic Instrumentation and Atmospheric Sciences School Universidad Veracruzana, Circuito Gonzalo Aguirre Beltran S/N, Xalapa 91000, Veracruz, Mexico;

    Electronic Instrumentation and Atmospheric Sciences School Universidad Veracruzana, Circuito Gonzalo Aguirre Beltran S/N, Xalapa 91000, Veracruz, Mexico;

    Civil Engineering School, Universidad Veracruzana, Venustiano Carranza S/N, Col. Revolucion, Poza Rica 93390, Veracruz, Mexico;

    Department of Electronics Engineering, Universidad Veracruzana, Venustiano Carranza S/N, Col. Revolucion, Poza Rica 93390, Veracruz, Mexico;

    Department of Electronics Engineering, Universidad Veracruzana, Venustiano Carranza S/N, Col. Revolucion, Poza Rica 93390, Veracruz, Mexico;

    Electronic Instrumentation and Atmospheric Sciences School Universidad Veracruzana, Circuito Gonzalo Aguirre Beltran S/N, Xalapa 91000, Veracruz, Mexico;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Homotopy perturbation method; Laplace transform; Differential equations;

    机译：同态摄动法;拉普拉斯变换;微分方程;

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