Numerical Solution of Caputo-Fabrizio Time Fractional Distributed Order Reaction-diffusion Equation via Quasi Wavelet based Numerical Method [PDF]
Journal of Applied and Computational Mechanics, 2020 In this paper, we derive a novel numerical method to find out the numerical solution of fractional partial differential equations (PDEs) involving Caputo-Fabrizio (C-F) fractional derivatives. We first find out the approximation formula of C-F derivative
Sachin Kumar +1 more
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AIMS Mathematics, 2022 In this paper, we propose a numerical scheme to solve generalized space fractional partial differential equations (GFPDEs). The proposed scheme uses Shifted Chebyshev fifth-kind polynomials with the spectral collocation approach.
Khalid K. Ali +2 more
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Solving Partial Differential Equations Using Deep Learning and Physical Constraints
Applied Sciences, 2020 The various studies of partial differential equations (PDEs) are hot topics of mathematical research. Among them, solving PDEs is a very important and difficult task.
Yanan Guo +3 more
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Rigorous Numerics for Partial Differential Equations: The Kuramoto—Sivashinsky Equation [PDF]
Foundations of Computational Mathematics, 2001 We present a new topological method for the study of the dynamics of dissipative PDE's. The method is based on the concept of the self-consistent apriori bounds, which allows to justify rigorously the Galerkin projection. As a result we obtain a low-dimensional system of ODE's subject to rigorously controlled small perturbation from the neglected modes.
Zgliczyński, Piotr +1 more
openaire +4 more sources
Alexandria Engineering Journal, 2020 In this study, we extend newly introduced numerical method to partial differential and integral equations with integer and non-integer order. This numerical approximation suggested by Atangana and Seda was constructed with Newton polynomial.
Abdon Atangana, Seda İğret Araz
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A Variational Model for Data Fitting on Manifolds by Minimizing the Acceleration of a Bézier Curve
Frontiers in Applied Mathematics and Statistics, 2018 We derive a variational model to fit a composite Bézier curve to a set of data points on a Riemannian manifold. The resulting curve is obtained in such a way that its mean squared acceleration is minimal in addition to remaining close the data points. We
Ronny Bergmann +1 more
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Review of: "New adaptative numerical algorithm for solving partial integro-differential equations" [PDF]
, 2023 Mohd Irfan
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Residual equilibrium schemes for time dependent partial differential equations [PDF]
, 2016 Many applications involve partial differential equations which admits nontrivial steady state solutions. The design of schemes which are able to describe correctly these equilibrium states may be challenging for numerical methods, in particular for high ...
Pareschi, Lorenzo, Rey, Thomas
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Numerical Solutions of Backward Stochastic Differential Equations: A Finite Transposition Method [PDF]
, 2011 In this note, we present a new numerical method for solving backward stochastic differential equations. Our method can be viewed as an analogue of the classical finite element method solving deterministic partial differential equations.Comment: 4 ...
Wang, Penghui, Zhang, Xu
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Application of dm methods for problems with partial differential equations
Mathematical Modelling and Analysis, 2002 Two variants of applications of the Degenerate Matrix Method for solving problems with PDB are considered. Solutions of the simple testing problem and of one more complicated nonlinear problem with PDB of the fifth order are presented as examples.
T. Cirulis, O. Lietuvietis
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