Fractional extensions of the temperature field problems in oil strata

DOI10.1016/j.amc.2006.07.086zbMath1110.76050OpenAlexW1969934311MaRDI QIDQ878908

Leda Galue, Bader N. Al-Saqabi, Shyam L. Kalla

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.086

zbMATH Keywords

Laplace transformCaputo fractional derivativesEfros theorem,

Mathematics Subject Classification ID

Related Items (9)

A second-order numerical scheme for the time-fractional partial differential equations with a time delay ⋮ A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation ⋮ A characteristic difference scheme for time-fractional heat equations based on the Crank-Nicholson difference schemes ⋮ Numerical techniques for the variable-order time fractional diffusion equation ⋮ Fractional wave equation with a frictional memory kernel of Mittag-Leffler type ⋮ Unnamed Item ⋮ Finite difference methods for fractional dispersion equations ⋮ Solution of temperature field problems in oil strata using integral transforms ⋮ A new difference scheme for time fractional heat equations based on the Crank-Nicholson method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical treatment of fractional heat equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The fundamental solutions for the fractional diffusion-wave equation
• Some boundary value problems of temperature fields in oil strata.
• On the Lauwerier formulation of the temperature field problem in oil strata
• Applied Integral Transforms
• A new dissipation model based on memory mechanism

This page was built for publication: Fractional extensions of the temperature field problems in oil strata