Search Results - Numerical computation of solutions to single equations

Numerical computation of solitary wave solutions of the Rosenau equation by Erbay, H.A., Erbay, S., Erkip, A.

“… We then apply two numerical algorithms based on the Petviashvili method for solving the Rosenau equation with single or double power law nonlinearity…”
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A mixed algorithm for numerical computation of soliton solutions of the coupled KdV equation: Finite difference method and differential quadrature method by Başhan, Ali

“…The aim of the manuscript is to investigate numerical solutions of the system of coupled Korteweg-de Vries equation…”
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Numerical solutions for the Robin time-fractional partial differential equations of heat and fluid flows based on the reproducing kernel algorithm by Abu Arqub, Omar

“…Purpose The purpose of this study is to introduce the reproducing kernel algorithm for treating classes of time-fractional partial differential equations subject to Robin boundary conditions…”
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A Grid-Based Gauge-Invariant Non-Perturbative Solution of the Schrödinger Equation for Diatomic Molecules in Strong Magnetic Fields by Yenugu, Nikhil, Tiwari, Ashwani K, Sen, Sangita

“…The gauge invariant Wilson Hamiltonian is employed to solve the nuclear Schrödinger equation in the presence of a strong time-independent magnetic field…”
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Finite difference method combined with differential quadrature method for numerical computation of the modified equal width wave equation by Başhan, Ali, Yağmurlu, N. Murat, Uçar, Yusuf, Esen, Alaattin

“…The aim of this study is to improve the numerical solution of the modified equal width wave equation…”
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A fast numerical algorithm for finding all real solutions to a system of N nonlinear equations in a finite domain by Chueca-Díez, Fernando, Gañán-Calvo, Alfonso M.

“… (Mathematica, Matlab, and Python as examples) do not offer a solution, is to find all the real solutions of a system of n nonlinear equations in a certain finite domain of the n -dimensional space of variables…”
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Numerical solutions of the EW and MEW equations using a fourth-order improvised B-spline collocation method by Fan, Guangyu, Wu, Beibei

“… The validity and accuracy of this method are verified through several numerical experiments using a single solitary wave, two solitary waves, Maxwellian initial condition, and an undular bore…”
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Multiscale computation of pore-scale fluid dynamics: Single-phase flow by Mehmani, Yashar, Tchelepi, Hamdi A.

“…Direct numerical simulation (DNS) of interstitial fluid dynamics in porous media is hindered by the sheer size and complexity of the discretized equations…”
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Computation of Eigenvalues and Eigenfunctions in the Solution of Eddy Current Problems by Theodoulidis, Theodoros, Skarlatos, Anastassios, Tytko, Grzegorz

“… The computation of the complex eigenvalue spectrum must be very accurate since losing or misplacing one of the thereto linked modes will have an important impact on the field solution…”
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Rheology of thermally convective flow of hybrid nanomaterial through slender needle: numerical computation by Yasir, Muhammad, Khan, Masood

“… In comparison with convectional heat transfer fluids and nanofluids containing single nanoparticles, hybrid nanofluids have the potential to offer improved heat transfer performance and thermophysical features…”
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An ensemble scheme for the numerical solution of a random transient heat equation with uncertain inputs by Yao, Tingfu, Ye, Changlun, Luo, Xianbing, Xiang, Shuwen

“…) scheme for the transient heat equation. The EMC scheme solves a single linear system including several right-side vectors at each time step…”
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MIXANDMIX: numerical techniques for the computation of empirical spectral distributions of population mixtures by Cordero-Grande, Lucilio

“…The MIXANDMIX (mixtures by Anderson mixing) tool for the computation of the empirical spectral distribution of random matrices generated by mixtures of populations is described…”
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Single peak solitary wave solutions for the osmosis K ( 2 , 2 ) equation under inhomogeneous boundary condition by Chen, Aiyong, Li, Jibin

“… Asymptotic analysis and numerical simulations are provided for smooth, peaked and cusped solitary wave solutions of the osmosis K ( 2 , 2 ) equation…”
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Single and multi-solitary wave solutions to a class of nonlinear evolution equations by Wang, Deng-Shan, Li, Hongbo

“… The aim of the algorithm is to discriminate and derive the single traveling wave solutions of a large class of nonlinear evolution equations…”
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A hybrid analytical-numerical method for solving advection-dispersion problems on a half-line by de Barros, F.P.J., Colbrook, M.J., Fokas, A.S.

“…•Solution of the advection-dispersion equation on the half-line via the Unified Transform (Fokas Method…”
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A stabilized Runge–Kutta–Legendre method for explicit super-time-stepping of parabolic and mixed equations by Meyer, Chad D., Balsara, Dinshaw S., Aslam, Tariq D.

“…Parabolic partial differential equations appear in several physical problems, including problems that have a dominant hyperbolic part coupled to a sub-dominant parabolic component…”
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Identification and estimation of nonlinear models with misclassification error using instrumental variables: A general solution by Hu, Yingyao

“…This paper provides a general solution to the problem of identification and estimation of nonlinear models with misclassification error in a general discrete explanatory variable using instrumental variables…”
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Measurement-Based Stiff Equation Methodology for Single Phase Transformer Inrush Current Computations by Majka, Łukasz, Baron, Bernard, Zydroń, Paweł

“…The present paper describes the research on the mechanism of inrush current formation in a modern single-phase transformer, in which the insulation system must withstand the stresses arising…”
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A numerical study on differences in using Navier–Stokes and Reynolds equations for modeling the fluid flow and particle transport in single rock fractures with shear by Koyama, T., Neretnieks, I., Jing, L.

“…: the validity of Reynolds equation for fluid flow (as most often assumed) and the effects of shear displacements on the magnitudes and anisotropy of the fluid flow velocity field…”
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The Hirota’s direct method for multiple-soliton solutions for three model equations of shallow water waves by Wazwaz, Abdul-Majid

“…Multiple-soliton solutions for three model equations for shallow water waves are determined…”
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