Application of modified homotopy analysis transform method to fractional modified Kawahara equation

Kunjan Shah; Himanshu C. Patel; Shilpi Jain; Praveen Agarwal

doi:10.1016/B978-0-44-318505-2.00022-2

Application of modified homotopy analysis transform method to fractional modified Kawahara equation

Kunjan Shah
, Himanshu C. Patel
, Shilpi Jain
, Praveen Agarwal

Nonlinear Dynamic Research Centre (NDRC)

Indian Institute of Teacher Education
Gujarat Technological University
Registrar
Poornima College of Engineering
International College of Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

We use the modified homotopy transformation analysis (MHATM) method to solve the modified Kawahara equation. The proposed method provides excellent accuracy for the modified Kawahara equation compared to other standard approaches and an accurate solution. Graphical and numerical results have shown that the MHATM is a very easy-to-use and powerful technique for engineering mathematics and physics.

Original language	English
Title of host publication	Recent Trends in Fractional Calculus and its Applications
Publisher	Elsevier
Pages	273-284
Number of pages	12
ISBN (Electronic)	9780443185052
ISBN (Print)	9780443185069
DOIs	https://doi.org/10.1016/B978-0-44-318505-2.00022-2
State	Published - 1 Jan 2024

Keywords

Fractional modified Kawahara equation
Modified homotopy analysis method
New integral transform

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10.1016/B978-0-44-318505-2.00022-2

Cite this

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abstract = "We use the modified homotopy transformation analysis (MHATM) method to solve the modified Kawahara equation. The proposed method provides excellent accuracy for the modified Kawahara equation compared to other standard approaches and an accurate solution. Graphical and numerical results have shown that the MHATM is a very easy-to-use and powerful technique for engineering mathematics and physics.",

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AU - Shah, Kunjan

AU - Patel, Himanshu C.

AU - Jain, Shilpi

AU - Agarwal, Praveen

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N2 - We use the modified homotopy transformation analysis (MHATM) method to solve the modified Kawahara equation. The proposed method provides excellent accuracy for the modified Kawahara equation compared to other standard approaches and an accurate solution. Graphical and numerical results have shown that the MHATM is a very easy-to-use and powerful technique for engineering mathematics and physics.

AB - We use the modified homotopy transformation analysis (MHATM) method to solve the modified Kawahara equation. The proposed method provides excellent accuracy for the modified Kawahara equation compared to other standard approaches and an accurate solution. Graphical and numerical results have shown that the MHATM is a very easy-to-use and powerful technique for engineering mathematics and physics.

KW - Fractional modified Kawahara equation

KW - Modified homotopy analysis method

KW - New integral transform

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BT - Recent Trends in Fractional Calculus and its Applications

PB - Elsevier

ER -

Application of modified homotopy analysis transform method to fractional modified Kawahara equation

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Keywords

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