IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i11p1204-d562400.html
   My bibliography  Save this article

The Novel Integral Homotopy Expansive Method

Author

Listed:
  • Uriel Filobello-Nino

    (Facultad de Instrumentación Electrónica, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltrán S/N, Xalapa 91000, Mexico)

  • Hector Vazquez-Leal

    (Facultad de Instrumentación Electrónica, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltrán S/N, Xalapa 91000, Mexico
    Consejo Veracruzano de Investigación Científica y Desarrollo Tecnológico (COVEICYDET), Av Rafael Murillo Vidal No. 1735, Cuauhtémoc, Xalapa 91069, Mexico)

  • Jesus Huerta-Chua

    (Instituto Tecnológico Superior de Poza Rica, Tecnológico Nacional de México, Luis Donaldo Colosio Murrieta S/N, Arroyo del Maíz, Poza Rica 93230, Mexico)

  • Jaime Ramirez-Angulo

    (Instituto Tecnológico Superior de Poza Rica, Tecnológico Nacional de México, Luis Donaldo Colosio Murrieta S/N, Arroyo del Maíz, Poza Rica 93230, Mexico)

  • Darwin Mayorga-Cruz

    (Consejo Veracruzano de Investigación Científica y Desarrollo Tecnológico (COVEICYDET), Av Rafael Murillo Vidal No. 1735, Cuauhtémoc, Xalapa 91069, Mexico
    Centro de Investigación en Ingeniería y Ciencias Aplicadas, CIICAP, Universidad Autónoma del Estado de Morelos, Cuernavaca 62209, Mexico)

  • Rogelio Alejandro Callejas-Molina

    (Instituto Tecnológico de Celaya, Tecnológico Nacional de México, Antonio García Cubas Pte. 600, Celaya 38010, Mexico)

Abstract

This work proposes the Integral Homotopy Expansive Method (IHEM) in order to find both analytical approximate and exact solutions for linear and nonlinear differential equations. The proposal consists of providing a versatile method able to provide analytical expressions that adequately describe the scientific phenomena considered. In this analysis, it is observed that the proposed solutions are compact and easy to evaluate, which is ideal for practical applications. The method expresses a differential equation as an integral equation and expresses the integrand of the equation in terms of a homotopy. As a matter of fact, IHEM will take advantage of the homotopy flexibility in order to introduce adjusting parameters and convenient functions with the purpose of acquiring better results. In a sequence, another advantage of IHEM is the chance to distribute one or more of the initial conditions in the different iterations of the proposed method. This scheme is employed in order to introduce some additional adjusting parameters with the purpose of acquiring accurate analytical approximate solutions.

Suggested Citation

  • Uriel Filobello-Nino & Hector Vazquez-Leal & Jesus Huerta-Chua & Jaime Ramirez-Angulo & Darwin Mayorga-Cruz & Rogelio Alejandro Callejas-Molina, 2021. "The Novel Integral Homotopy Expansive Method," Mathematics, MDPI, vol. 9(11), pages 1-18, May.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:11:p:1204-:d:562400
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/11/1204/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/11/1204/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hector Vazquez-Leal & Arturo Sarmiento-Reyes & Yasir Khan & Uriel Filobello-Nino & Alejandro Diaz-Sanchez, 2012. "Rational Biparameter Homotopy Perturbation Method and Laplace-Padé Coupled Version," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-21, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      Corrections

      All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:11:p:1204-:d:562400. See general information about how to correct material in RePEc.

      If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

      If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

      For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

      Please note that corrections may take a couple of weeks to filter through the various RePEc services.

      IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.