An Advanced Numerical Approach To Solve Viscous Flow Via Modified Generalized Laguerre Functions

This paper presents an advanced numerical approach that applies the quasilinearization method (QLM) and collocation method (CM) based on modified generalized Laguerre functions (MGLFs) to solve a nonlinear system of ordinary differential equations governing viscous flow with heat transfer and magnetic fields on a semi-infinite domain.We demonstrate the effectiveness and accuracy of the proposed method by comparing it with previous well-known methods.The results show that the proposed method provides an efficient and accurate solution to the problem.

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Publication Details

Journal
Iranian Journal of Mathematical Sciences and Informatics
Published
2025-04-01
DOI
https://doi.org/10.61186/ijmsi.20.1.13
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

An Advanced Numerical Approach To Solve Viscous Flow Via Modified Generalized Laguerre Functions

Zeinab Hajimohammadi, Kourosh Parand, Aida Pakniyat
Iranian Journal of Mathematical Sciences and Informatics
Fractional Differential Equations Solutions
article

An Advanced Numerical Approach To Solve Viscous Flow Via Modified Generalized Laguerre Functions

Zeinab Hajimohammadi, Kourosh Parand, Aida Pakniyat
article en

Abstract

This paper presents an advanced numerical approach that applies the quasilinearization method (QLM) and collocation method (CM) based on modified generalized Laguerre functions (MGLFs) to solve a nonlinear system of ordinary differential equations governing viscous flow with heat transfer and magnetic fields on a semi-infinite domain.We demonstrate the effectiveness and accuracy of the proposed method by comparing it with previous well-known methods.The results show that the proposed method provides an efficient and accurate solution to the problem.

Iranian Journal of Mathematical Sciences and InformaticsVol. 20(1)
University of Waterloo (CA), Shahid Beheshti University (IR)
Openalex Percentile: Top 87%
Fractional Differential Equations Solutions
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