Results 31 to 40 of about 6,032 (69)
The Normal Cross Numerical Method Used to Solve the Anisotropic Diffusion Problem
Journal of Harbin University of Science and Technology, 2020 In order to solve the two dimensional anisotropic diffusion problem, an efficient normal crossing numerical method was proposed. The program was written in FORTRAN language to realize numerical calculation.
LIU Xiaogang +4 more
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Similarity Solutions to Nonlinear Diffusion/Harry Dym Fractional Equations
Advances in Mathematical Physics, 2021 By using scalar similarity transformation, nonlinear model of time-fractional diffusion/Harry Dym equation is transformed to corresponding ordinary fractional differential equations, from which a travelling-wave similarity solution of time-fractional ...
Chao Yue +3 more
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Low-Complexity Numerical Approach for the Diffusion Equation with Variable Diffusion Coefficient
MathematicsThe diffusion equation models a wide variety of physical and chemical processes and has significant interest in many scientific disciplines. Analytical and numerical methods found in the literature for solving the diffusion equation consider a constant ...
Marta Zárraga-Rodríguez +2 more
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Mathematics, 2019 This paper examines a range of results that can be derived from Einstein’s evolution equation focusing on the effect of introducing a Lévy distribution into the evolution equation.
Jonathan Blackledge +4 more
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Information Potential Fields Navigation in Wireless Ad-Hoc Sensor Networks
Sensors, 2011 As wireless sensor networks (WSNs) are increasingly being deployed in some important applications, it becomes imperative that we consider application requirements in in-network processes.
Yong Qi, Wei Wei
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Impulsive Diffusion Equation on Time Scales
International Journal of Analysis and Applications, 2018 Application of boundary value problems (BVP’s) on an arbitrary time scale T is a fairly new and important subject in mathematics. In this study, we deal with an eigenvalue problem for impulsive diffusion equation with boundary conditions on T.
Tuba Gulsen +3 more
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Higher-order approximations for space-fractional diffusion equation
Journal of Numerical Analysis and Approximation TheorySecond-order and third-order finite difference approximations for fractional derivatives are derived from a recently proposed unified explicit form. The Crank-Nicholson schemes based on these approximations are applied to discretize the space-fractional
Anura Gunarathna Wickramarachchi +1 more
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Mathematical Modeling of Release Kinetics from Supramolecular Drug Delivery Systems
Pharmaceutics, 2019 Embedding of active substances in supramolecular systems has as the main goal to ensure the controlled release of the active ingredients. Whatever the final architecture or entrapment mechanism, modeling of release is challenging due to the moving ...
Constantin Mircioiu +8 more
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Time Fractional Fisher–KPP and Fitzhugh–Nagumo Equations
Entropy, 2020 A standard reaction–diffusion equation consists of two additive terms, a diffusion term and a reaction rate term. The latter term is obtained directly from a reaction rate equation which is itself derived from known reaction kinetics, together with ...
Christopher N. Angstmann, Bruce I. Henry
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Bitsadze-Samarskii Type Problem for the Diffusion Equation and Degenerate Hyperbolic Equation
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiA boundary value problem of the Bitsadze-Samarskii type is studied in the article for a fractionalorder diffusion equation and a degenerate hyperbolic equation with singular coefficients at lower terms in an unbounded domain.
Ruziev, M.Kh. +3 more
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