A differential quadrature method for numerical solutions of Burgers'‐type equations

RC Mittal, R Jiwari - International Journal of Numerical Methods for …, 2012 - emerald.com
A differential quadrature method for numerical solutions of Burgers'‐type equations | Emerald
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Cubic B‐spline differential quadrature methods and stability for Burgers' equation

A Korkmaz, İ Dağ - Engineering Computations, 2013 - emerald.com
Purpose–The purpose of this paper is to simulate numerical solutions of nonlinear Burgers'
equation with two well‐known problems in order to verify the accuracy of the cubic B‐spline …

An efficient three‐level explicit time‐split scheme for solving two‐dimensional unsteady nonlinear coupled Burgers' equations

E Ngondiep - International Journal for Numerical Methods in …, 2020 - Wiley Online Library
This work deals with the numerical solutions of two‐dimensional viscous coupled Burgers'
equations with appropriate initial and boundary conditions using a three‐level explicit time …

Effective and efficient approaches for calculating seismic ray velocity and attenuation in viscoelastic anisotropic media

J Wu, B Zhou, X Li, Y Bouzidi - Geophysics, 2021 - library.seg.org
In viscoelastic anisotropic media, the elastic moduli, slowness vector, phase, and ray
velocity are all complex-valued quantities in the frequency domain. Solving the complex …

The use of Sinc‐collocation method for solving Falkner–Skan boundary‐layer equation

K Parand, M Dehghan… - International journal for …, 2012 - Wiley Online Library
Abstract The MHD Falkner–Skan equation arises in the study of laminar boundary layers
exhibiting similarity on the semi‐infinite domain. The proposed approach is equipped by the …

Mollification of Fourier spectral methods with polynomial kernels

M Puthukkudi… - Mathematical Methods in …, 2024 - Wiley Online Library
Many attempts have been made in the past to regain the spectral accuracy of the spectral
methods, which is lost drastically due to the presence of discontinuity. In this article, an …

A novel three-level time-split MacCormack method for solving two-dimensional viscous coupled Burgers equations

E Ngondiep - arXiv preprint arXiv:1906.01544, 2019 - arxiv.org
In this paper, we analyze the three-level explicit time-split MacCormack procedure in the
numerical solutions of two-dimensional viscous coupled Burgers' equations subject to initial …

Mollification of Fourier Spectral Methods with Polynomial Kernels

G Chandhini, P Megha - Authorea Preprints, 2023 - techrxiv.org
Many attempts have been made in the past to regain the spectral accuracy of the spectral
methods, which is lost drastically due to the presence of discontinuity. In this article, an …

[PDF][PDF] Synthesis of safe controllers for nonlinear systems using dynamic programming techniques

JE da Silva, JT Sousa, FL Pereira - Physcon 2017, 2017 - repositorio-aberto.up.pt
A dynamic programming based procedure for the synthesis of near-optimal controllers for
sampled data systems is proposed. The main features of the proposed procedure are the …

[PDF][PDF] Emerald Article: A differential quadrature method for numerical solutions of Burgers'-type equations

RC Mittal, R Jiwari - researchgate.net
Purpose–The purpose of this paper is to use the polynomial differential quadrature method
(PDQM) to find the numerical solutions of some Burgers'-type nonlinear partial differential …