Theoretical Analysis of Nonlinear Partial Differential Equations with Mixed Boundary Conditions

The solution of author’s mathematical model of Magnetohydrodynamics (MHD) flow of a Casson fluid is discussed. The given nonlinear partial differential equations are converted into nonlinear ordinary differential equations using similarity transformations. The simple and closed form analytical expression for concentration profiles is provided. The compatibility of analytical results with simulation results can be observed from the graphs and table presented.

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Publication Details

Journal
Asian Research Journal of Mathematics
Published
2025-02-05
DOI
https://doi.org/10.9734/arjom/2025/v21i2889
Primary Topic
Differential Equations and Numerical Methods
Type
article
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article

Theoretical Analysis of Nonlinear Partial Differential Equations with Mixed Boundary Conditions

M. Rajaram, Arvind Meena
Asian Research Journal of Mathematics
Differential Equations and Numerical Methods
article

Theoretical Analysis of Nonlinear Partial Differential Equations with Mixed Boundary Conditions

M. Rajaram, Arvind Meena
article en

Abstract

The solution of author’s mathematical model of Magnetohydrodynamics (MHD) flow of a Casson fluid is discussed. The given nonlinear partial differential equations are converted into nonlinear ordinary differential equations using similarity transformations. The simple and closed form analytical expression for concentration profiles is provided. The compatibility of analytical results with simulation results can be observed from the graphs and table presented.

Asian Research Journal of MathematicsVol. 21(2)
American College, Madurai (IN)
Openalex Percentile: Top 96%
Differential Equations and Numerical Methods
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