Fixed-Term Homotopy

Joint Authors

Sarmiento-Reyes, Arturo
Khan, Yasir
Diaz-Sanchez, Alejandro
Filobello-Niño, Uriel
Vazquez-Leal, Hector
Cisneros-Sinencio, Luis-F.

Source

Journal of Applied Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-02-13

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

A new tool for the solution of nonlinear differential equations is presented.

The Fixed-Term Homotopy (FTH) delivers a high precision representation of the nonlinear differential equation using only a few linear algebraic terms.

In addition to this tool, a procedure based on Laplace-Padé to deal with the truncate power series resulting from the FTH method is also proposed.

In order to assess the benefits of this proposal, two nonlinear problems are solved and compared against other semianalytic methods.

The obtained results show that FTH is a power tool capable of generating highly accurate solutions compared with other methods of literature.

American Psychological Association (APA)

Vazquez-Leal, Hector& Khan, Yasir& Filobello-Niño, Uriel& Sarmiento-Reyes, Arturo& Diaz-Sanchez, Alejandro& Cisneros-Sinencio, Luis-F.. 2013. Fixed-Term Homotopy. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-512589

Modern Language Association (MLA)

Vazquez-Leal, Hector…[et al.]. Fixed-Term Homotopy. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-512589

American Medical Association (AMA)

Vazquez-Leal, Hector& Khan, Yasir& Filobello-Niño, Uriel& Sarmiento-Reyes, Arturo& Diaz-Sanchez, Alejandro& Cisneros-Sinencio, Luis-F.. Fixed-Term Homotopy. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-512589

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-512589