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Hybrid ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Approximate approach for solving pantograph type via Genocchi polynomials

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pp. 965–973Vol. 27Issue 4June 2024DOI: 10.47974/JIM-1917XML
Received:
12 Mar 2024
Published Online:
30 Jun 2024
Article type:
Research Article
Language:
EN
Article no.:
JIM-1917
Pages:
965–973

Abstract

In this paper, we presents a novel method for approximating of pantograph differential equations of delay based on the poly-Genocchi polynomalis basis. The poly-Genocchi polynomalis is introduced, and the consecutive integrations approach forms the basis of the method’s basic structure. With just a few iterations, an effective approximate solution can be found using this method. Furthermore, some numerical examples consisting of initial conditions are provided to show the effectiveness and practicality of this approach. To demonstrate their excellent accuracy, the findings were compared to exact solutions.

Keywords

Subject Classifications

26C0526C10

References

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