Spectral Shifted Jacobi Tau and Collocation Methods for Solving Fifth-Order Boundary Value Problems
Abstract and Applied Analysis, 2011 We have presented an efficient spectral algorithm based on shifted Jacobi tau method of linear fifth-order two-point boundary value problems (BVPs). An approach that is implementing the shifted Jacobi tau method in combination with the shifted Jacobi ...
A. H. Bhrawy +2 more
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Numerical Solution of Conformable Fractional Periodic Boundary Value Problems by Shifted Jacobi Method [PDF]
International Journal of Mathematical, Engineering and Management SciencesThis paper presents the so-called shifted Jacobi method, an efficient numerical technique to solve second-order periodic boundary value problems with finitely many singularities involving nonlinear systems of two points.
Abeer Al-nana +4 more
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Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics
Journal of Applied Mathematics, 2012 We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
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Coordinate-free Solutions for Cosmological Superspace [PDF]
, 1997 Hamilton-Jacobi theory for general relativity provides an elegant covariant formulation of the gravitational field. A general `coordinate-free' method of integrating the functional Hamilton-Jacobi equation for gravity and matter is described. This series
A. O. Barvinsky +32 more
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Junction Conditions for Hamilton–Jacobi Equations for Solving Real-Time Traffic Flow Problems
IEEE Access, 2019 In this paper, we propose junction conditions for discontinuities due to local perturbation, diverging, merging, and multi-in-multi-out junctions. Traffic flows on junctions can be described by a system of coupled Hamilton-Jacobi equations.
Linfeng Zhang +3 more
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Improved sign-based learning algorithm derived by the composite nonlinear Jacobi process [PDF]
, 2005 In this paper a globally convergent first-order training algorithm is proposed that uses sign-based information of the batch error measure in the framework of the nonlinear Jacobi process.
Anastasiadis, A.D. +2 more
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Journal of Function Spaces, 2017 We develop a generalized Jacobi-Galerkin method for second kind Volterra integral equations with weakly singular kernels. In this method, we first introduce some known singular nonpolynomial functions in the approximation space of the conventional Jacobi-
Haotao Cai
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Finite Element Methods with Artificial Diffusion for Hamilton-Jacobi-Bellman Equations [PDF]
, 2012 In this short note we investigate the numerical performance of the method of artificial diffusion for second-order fully nonlinear Hamilton-Jacobi-Bellman equations. The method was proposed in (M. Jensen and I. Smears, arxiv:1111.5423); where a framework
Jensen, Max, Smears, Iain
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Multi-Scale Jacobi Method for Anderson Localization [PDF]
, 2015 A new KAM-style proof of Anderson localization is obtained. A sequence of local rotations is defined, such that off-diagonal matrix elements of the Hamiltonian are driven rapidly to zero.
Imbrie, John Z.
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Multi Hamilton-Jacobi quantization of O(3) nonlinear sigma model [PDF]
, 2001 The O(3) non-linear sigma model is investigated using multi Hamilton-Jacobi formalism. The integrability conditions are investigated and the results are in agreement with those obtained by Dirac's method.
Baleanu D. +6 more
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