Semi-numerical solution to a fractal telegraphic dual-porosity fluid flow model

DOI10.1007/S40314-018-0577-7zbMath1404.65091arXiv1608.04156OpenAlexW2963489999MaRDI QIDQ1993424

Yanyan Li

Publication date: 5 November 2018

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04156

zbMATH Keywords

Laplace transformnumerical Laplace inversionfinite differences methodfluid flow modelfractal dual-porositysemi-numerical solution

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Laplace transform (44A10) Integral transforms of special functions (44A20) Fractals (28A80) Finite difference methods for boundary value problems involving PDEs (65N06) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (1)

Modeling single-phase fluid flow in porous media through non-local fractal continuum equation

Cites Work

• Laplace transform and finite difference methods for the Black-Scholes equation
• Application of the \(\varTheta\)-method to a telegraphic model of fluid flow in a dual-porosity medium
• Analysis of diffusion process in fractured reservoirs using fractional derivative approach
• Validation of numerical solution of diffusive part in a reaction-diffusion model
• APPLICATION OF HYBRID LAPLACE TRANSFORM/ FINITE-DIFFERENCE METHOD TO TRANSIENT HEAT CONDUCTION PROBLEMS
• An Improved Method for Numerical Inversion of Laplace Transforms

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