A new parallel Heronion Runge Kutta mean method by using forward backward technique

Jasim, Mahmood D.

doi:10.47974/JIM-1882

Open Access Research Article

A new parallel Heronion Runge Kutta mean method by using forward backward technique

^*Mahmood D. JasimCorresponding authormahoodalani@uomosul.edu.iq; Mahmood.Al-Ani@univ-nantes.frMathematics Department College of Basic Education University of MosulDepartment of Mathematics College of Basic Education University of MosulMosul, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 849–855Vol. 27Issue 4June 2024DOI: 10.47974/JIM-1882XML

Received:: 11 Jan 2024
Published Online:: 30 Jun 2024
Article type:: Research Article
Language:: EN
Article no.:: JIM-1882
Pages:: 849–855

Abstract

Runge Kutta methods regards one of the best methods to solve Initial Value Problems. Our new method used the Heronioun mean instead of the traditional arithmetic mean, and used the forward – backward technique with a delay of backward part to get a full advantage of parallelism, to make it suitable for this generation of computers.

Keywords

Initial value problems Heronion mean method Forward – backward technique Stability region

Subject Classifications

65L0665L03

References

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