Results 11 to 20 of about 6,032 (69)
Generalization of the Fourier problem of temperature waves in half-space
Физика волновых процессов и радиотехнические системы, 2021 The problem of asymptotic fluctuations of temperature and moisture content in a half-space whose boundary is blown by an air flow with a temperature varying according to the harmonic law is solved by the method of complex amplitudes. The material filling
Anatoly M. Afanasyev +1 more
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Stable, Explicit, Leapfrog-Hopscotch Algorithms for the Diffusion Equation
Computation, 2021 In this paper, we construct novel numerical algorithms to solve the heat or diffusion equation. We start with 105 different leapfrog-hopscotch algorithm combinations and narrow this selection down to five during subsequent tests.
Ádám Nagy +5 more
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New integral equation approach to solution of diffusion equation
Computer Assisted Methods in Engineering and Science, 2023 The paper concerns the theoretical derivation of a new formulation for solution of the initial-boundary value problems for the diffusion equation. The global and local integral equations are derived by using the fundamental solution for the Laplace ...
Vladimίr Sladek +2 more
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ANALISIS KONVERGENSI METODE BEDA HINGGA DALAM MENGHAMPIRI PERSAMAAN DIFUSI
E-Jurnal Matematika, 2018 The diffusion equation or known as heat equation is a parabolic and linear type of partial differential equation. One of the numerical method to approximate the solution of diffusion equations is Finite Difference Method (FDM).
F. MUHAMMAD ZAIN +2 more
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A Necessary Characteristic Equation of Diffusion Processes Having Gaussian Marginals
Abstract and Applied Analysis, 2012 The aim of this work is to characterize one-dimensional homogeneous diffusion process, under the assumption that marginal density of the process is Gaussian.
Syeda Rabab Mudakkar
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Similarity Solution for Fractional Diffusion Equation
Abstract and Applied Analysis, 2014 Fractional diffusion equation in fractal media is an integropartial differential equation parametrized by fractal Hausdorff dimension and anomalous diffusion exponent.
Jun-Sheng Duan, Ai-Ping Guo, Wen-Zai Yun
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Entropy Production Rate of a One-Dimensional Alpha-Fractional Diffusion Process
Axioms, 2016 In this paper, the one-dimensional α-fractional diffusion equation is revisited. This equation is a particular case of the time- and space-fractional diffusion equation with the quotient of the orders of the time- and space-fractional derivatives equal ...
Yuri Luchko
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Computation, 2023 New analytical solutions of the heat conduction equation obtained by utilizing a self-similar Ansatz are presented in cylindrical and spherical coordinates. Then, these solutions are reproduced with high accuracy using recent explicit and unconditionally
Humam Kareem Jalghaf +3 more
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Discrete Dynamics in Nature and Society, 2001 We revise the interrelations between the classical Black Scholes equation, the diffusion equation and Burgers equation. Some of the algebraic properties the diffusion equation shows are elaborated and qualitatively presented.
Andreas Ruffing +2 more
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Numerical Simulation of Feller’s Diffusion Equation
Mathematics, 2019 This article is devoted to Feller’s diffusion equation, which arises naturally in probability and physics (e.g., wave turbulence theory). If discretized naively, this equation may represent serious numerical difficulties since the diffusion ...
Denys Dutykh
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