most citedApproximate Solutions to Fractional Subdiffusion Equations: The heat-balance integral method

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math-ph201128 cited

Integral-Balance Solution to the Stokes' First Problem of a Viscoelastic Generalized Second Grade Fluid

Jordan Hristov

Integral balance solution employing entire domain approximation and the penetration dept concept to the Stokes' first problem of a viscoelastic generalized second grade fluid has b…

math-ph201188 cited

Approximate Solutions to Fractional Subdiffusion Equations: The heat-balance integral method

Jordan Hristov

The work presents integral solutions of the fractional subdiffusion equation by an integral method, as an alternative approach to the solutions employing hypergeometric functions.…

math-ph201035 cited

An Inverse Stefan Problem Relevant to Boilover: Heat Balance Integral Solutions and Analysis

Jordan Hristov

Stefan problems relevant to burning oil-water systems are formulated. Two moving boundary sub-problems are defined: burning liquid surface and formation of a distillation ("hot zon…

math-ph201081 cited

The heat-balance integral method by a parabolic profile with unspecified exponent: Analysis and Benchmark Exercises

Jordan Hristov

The heat-balance integral method of Goodman has been thoroughly analyzed in the case of a parabolic profile with unspecified exponent depending on the boundary condition imposed. T…

math-ph20109 cited

A Short-Distance Integral-Balance Solution to a Strong Subdiffusion Equation: A Weak Power-Law Profile

Jordan Hristov

The work presents an integral solution of the time-fractional subdiffusion through a preliminary defined profile with unknown coefficients and the concept of penetration layer well…