Results 31 to 40 of about 1,352,769 (228)
In this paper, reduced differential transform method (RDTM) is employed to approximate the solutions of (2+1) dimensional type of the Zakharov-Kuznetsov partial differential equations. We apply these method to two examples.
Acan, Omer, Keskin, Yildiray
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Block Spins for Partial Differential Equations
We investigate the use of renormalisation group methods to solve partial differential equations (PDEs) numerically. Our approach focuses on coarse-graining the underlying continuum process as opposed to the conventional numerical analysis method of ...
Goldenfeld, Nigel +2 more
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Fractional time stochastic partial differential equations [PDF]
In this paper, we introduce a class of stochastic partial differential equations (SPDEs) with fractional time-derivatives, and study the $L_2$-theory of the equations.
Chen, Zhen-Qing +2 more
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In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be understood as a ...
Christov, Ivan C.
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Sparse Dynamics for Partial Differential Equations
We investigate the approximate dynamics of several differential equations when the solutions are restricted to a sparse subset of a given basis. The restriction is enforced at every time step by simply applying soft thresholding to the coefficients of ...
Caflisch, Russel +3 more
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Front motion for phase transitions in systems with memory
We consider the Allen-Cahn equations with memory (a partial integro-differential convolution equation). The prototype kernels are exponentially decreasing functions of time and they reduce the integrodifferential equation to a hyperbolic one, the damped ...
Aizicovici +17 more
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Partial Evaluation of Automatic Differentiation for Differential-Algebraic Equations Solvers [PDF]
Oscar Eriksson +2 more
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Differential equations over octonions
Differential equations with constant and variable coefficients over octonions are investigated. It is found that different types of differential equations over octonions can be resolved. For this purpose non-commutative line integration is used.
A.G. Kurosh +10 more
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Strong-viscosity Solutions: Semilinear Parabolic PDEs and Path-dependent PDEs
The aim of the present work is the introduction of a viscosity type solution, called strong-viscosity solution to distinguish it from the classical one, with the following peculiarities: it is a purely analytic object; it can be easily adapted to more ...
Cosso, Andrea, Russo, Francesco
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Wound Healing Modeling Using Partial Differential Equation and Deep Learning [PDF]
Hy Dang, Ken Richardson
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