On the Combination of the Laplace Transform and Integral Equation Method to Solve the 3D Parabolic Initial Boundary Value Problem

We consider a two-step numerical approach for solving parabolic initial boundary value problems in 3D simply connected smooth regions. The method uses the Laplace transform in time, reducing the problem to a set of independent stationary boundary value problems for the Helmholtz equation with comple...

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Bibliographic Details
Published in:Axioms
Main Authors: Roman Chapko, Svyatoslav Lavryk
Format: Article
Language:English
Published: MDPI AG 2025-08-01
Subjects:
heat equation
Helmholtz equation
3D initial boundary value problem
numerical Laplace transform inversion
boundary integral equation method
Nyström method
Online Access:https://www.mdpi.com/2075-1680/14/9/666

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https://www.mdpi.com/2075-1680/14/9/666

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