Results 31 to 40 of about 420,792 (330)
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2021 In this paper, exact and numerical solutions of two dimensional time-fractional diffusion-reaction equation involving the Riemann-Liouville derivative are determined, by applying a procedure that combines the Lie symmetry analysis with the numerical ...
Alessandra Jannelli +1 more
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Results in Physics, 2023 This study utilizes computational and numerical techniques to investigate the (1+1)-dimensional Mikhailov–Novikov–Wang (MNW) integrable equation, a nonlinear partial differential equation that governs the propagation of solitons in various physical ...
Tianyong Han, Mostafa M.A. Khater
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R-adaptive multisymplectic and variational integrators [PDF]
, 2019 Moving mesh methods (also called r-adaptive methods) are space-adaptive strategies used for the numerical simulation of time-dependent partial differential equations.
Desbrun, Mathieu, Tyranowski, Tomasz M.
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Nonlinear Klein-Gordon and Schrödinger Equations by the Projected Differential Transform Method
Abstract and Applied Analysis, 2012 The differential transform method (DTM) is based on the Taylor series for all variables, but it differs from the traditional Taylor series in calculating coefficients.
Younghae Do, Bongsoo Jang
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Multiscale Partition of Unity [PDF]
, 2013 We introduce a new Partition of Unity Method for the numerical homogenization of elliptic partial differential equations with arbitrarily rough coefficients. We do not restrict to a particular ansatz space or the existence of a finite element mesh.
C.A. Duarte +11 more
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Numerical methods for the multiplicative partial differential equations
Open Mathematics, 2017 We propose the multiplicative explicit Euler, multiplicative implicit Euler, and multiplicative Crank-Nicolson algorithms for the numerical solutions of the multiplicative partial differential equation.
Yazıcı Muhammet, Selvitopi Harun
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, 2014 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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Uncertainty Quantification for Linear Hyperbolic Equations with Stochastic Process or Random Field Coefficients [PDF]
, 2017 In this paper hyperbolic partial differential equations with random coefficients are discussed. Such random partial differential equations appear for instance in traffic flow problems as well as in many physical processes in random media.
Barth, Andrea, Fuchs, Franz G.
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AIP Advances, 2013 In the numerical calculations of parabolic partial differential equations using explicit-type finite-difference methods (FDMs), the most fundamental finite-difference scheme is the time-forward, centered-space scheme.
Tsugio Fukuchi
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Advances in Difference Equations, 2021 The shifted Chebyshev polynomials of the fifth kind (SCPFK) and the collocation method are employed to achieve approximate solutions of a category of the functional equations, namely variable-order time-fractional weakly singular partial integro ...
Khadijeh Sadri +4 more
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