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September 10, 2025International Journal of Applied Mathematical Research

An Inverse Problem for A Time-Fractional Heat Equation: De‎termination of A Time-Dependent Coefficient Via The Laplace ‎Homotopy Analysis Method

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OOOgugua OnyejekweIndian River State College

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Implication

This analysis demonstrates the effectiveness of a semi-analytical method for resolving thermal coefficients in time-fractional heat equations, highlighting its role in obtaining precise temperature distributions.

Key Points

The approach successfully determines an unknown time-dependent thermal coefficient in a time-fractional heat equation.
By employing the Laplace Homotopy Analysis Method, a convergent series solution for the temperature distribution is constructed.
Initial guess selection and a convergence-control parameter streamline the solution process, reducing computational effort.
Validation through an illustrative example demonstrates the effectiveness and accuracy of the proposed method in addressing inverse problems.

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Ogugua Onyejekwe (2025) studied this question.

synapsesocial.com/papers/68c1a40254b1d3bfb60de3e7 https://doi.org/10.14419/19gt8385

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An Inverse Problem for A Time-Fractional Heat Equation: De‎termination of A Time-Dependent Coefficient Via The Laplace ‎Homotopy Analysis Method

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Implication

Key Points

Cite This Study

An Inverse Problem for A Time-Fractional Heat Equation: De‎termination of A Time-Dependent Coefficient Via The Laplace ‎Homotopy Analysis Method

Discussion

Member takes

Implication

Key Points

Cite This Study

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