Work

Advanced Transform Techniques for the One-Dimensional Non-Homogeneous Heat Equation with Non-Homogeneous BCs and IC

Year: 2024

Type: article

Abstract: This study addresses the one-dimensional non-homogeneous heat equation with non-homogeneous boundary conditions using a transformation method. We introduce a new dependent variable V(x,t) and a function ψ(x) to simplify the PDE into a homogeneous form, solving it analytically. The solution involves separating variables and applying Fourier series, leading to: Numerical simulations confirm the theoretical results, illustrating the method’s robustness for modeling heat conduction problems.

Source: International Journal of Applied Mathematical Research

DOI: 10.14419/kyyb9f56

Authors: RAPHEAL OLADIPO FIFELOLA, OKAFOR UCHENWA LINUS, ADEDAPO KEHINDE FEMI, JOHNSON SUNDAY EGBEJA

Institution: Nigerian Defence Academy

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402730105

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