Results 21 to 30 of about 326,003 (288)
On high-order compact schemes for the multidimensional time-fractional Schrödinger equation
Advances in Difference Equations, 2020 In this article, some high-order compact finite difference schemes are presented and analyzed to numerically solve one- and two-dimensional time fractional Schrödinger equations.
Rena Eskar, Xinlong Feng, Ehmet Kasim
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Higher order compact finite difference method for the solution of 2-D time fractional diffusion equation [PDF]
Matrix Science Mathematic, 2018 The main purpose of this study is to work on the solution of two-dimensional time fractional diffusion equation In this research work we apply the HOC scheme to approximate the second order space derivative. To obtain a discrete implicit scheme, Grunwald-
Muhammad Usman +2 more
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, 2020 We study nonlinear hyperbolic conservation laws posed on a differential (n+1)-manifold with boundary referred to as a spacetime, and defined from a prescribed flux field of n-forms depending on a parameter (the unknown variable), a class of equations ...
Giesselmann, Jan, LeFloch, Philippe G.
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Advances in Difference Equations, 2020 In this article, a new explicit group iterative scheme is developed for the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid.
Muhammad Asim Khan +2 more
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Electromagnetic radiation from ingested sources in the human intestine between 150 MHz and 1.2 GHz [PDF]
, 2003 The conventional method of diagnosing disorders of the human gastro-intestinal (GI) tract is by sensors embedded in cannulae that are inserted through the anus, mouth, or nose.
Chirwa, L.C. +3 more
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Hybrid Spectral Difference/Embedded Finite Volume Method for Conservation Laws [PDF]
, 2015 A novel hybrid spectral difference/embedded finite volume method is introduced in order to apply a discontinuous high-order method for large scale engineering applications involving discontinuities in the flows with complex geometries.
Choi, Jung J.
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Solution of the Porous Media Equation by a Compact Finite Difference Method [PDF]
Mathematical Problems in Engineering, 2009 Accurate solutions of the porous media equation that usually occurs in nonlinear problems of heat and mass transfer and in biological systems are obtained using a compact finite difference method in space and a low‐storage total variation diminishing third‐order Runge‐Kutta scheme in time.
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An Efficient Compact Finite Difference Method for the Solution of the Gross-Pitaevskii Equation
Advances in Condensed Matter Physics, 2015 We present an efficient, unconditionally stable, and accurate numerical method for the solution of the Gross-Pitaevskii equation. We begin with an introduction on the gradient flow with discrete normalization (GFDN) for computing stationary states of a ...
Rongpei Zhang, Jia Liu, Guozhong Zhao
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A Compact Scheme for a Partial Integro-Differential Equation with Weakly Singular Kernel [PDF]
Journal of Sciences, Islamic Republic of Iran, 2017 Compact finite difference scheme is applied for a partial integro-differential equation with a weakly singular kernel. The product trapezoidal method is applied for discretization of the integral term. The order of accuracy in space and time is , where .
J. Biazar +2 more
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Applied Mathematics in Science and Engineering, 2023 In this study, a high-order compact finite difference method is used to solve Lane–Emden equations with various boundary conditions. The norm is to use a first-order finite difference scheme to approximate Neumann and Robin boundary conditions, but that ...
James Malele +2 more
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