Generalized Chebyshev Collocation Method
, 2014 {"references": ["E. HAIRER, G.WANNER, Solving Ordinary Differential Equations,II Stiff\nand Differential-Algebraic Problems, Springer Series in Computational\nMathematics, Springer, 1996.", "T. HASEGAWA, T. TORII, I. NINOMIYA, Generalized Chebyshev\ninterpolation and its application to automatic quadrature, Math. Comp.\n41(1983) pp. 537\u2013543.", "T.
Junghan Kim +3 more
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THE MODIFIED METHOD OF SEQUENTIAL LOADS FOR THE ANALYSIS OF SLENDER SHALLOW SHELLS
International Journal for Computational Civil and Structural EngineeringThis study discusses specific features of analyzing shallow shells using a modified sequential load method and a collocation method. This combination shows a rapid rate of convergence when the golden section principle is used to select the collocation ...
Vladilen Petrov, Olga Gorbacheva
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Graded mesh B-spline collocation method for two parameters singularly perturbed boundary value problems. [PDF]
MethodsX, 2023 Andisso FS, Duressa GF.
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Meitian dizhi yu kantanBackgroundIn the field of seismic wavefield simulation, physics-informed neural networks (PINNs) have emerged as a new method for efficiently solving the Helmholtz equation due to their characteristic of grid-free computation.
Lianpu SHAN, Caixia YU, Yanfei WANG
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A Collocation Method for Solving Fractional Riccati Differential Equation
Journal of Applied Mathematics, 2013 We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term.
Yalçın Öztürk +3 more
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Uniformly convergent extended cubic B-spline collocation method for two parameters singularly perturbed time-delayed convection-diffusion problems. [PDF]
BMC Res Notes, 2023 Negero NT.
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An Introduction to Isogeometric Collocation Methods
, 2015 Within the framework of isogeometric analysis, collocation methods have been recently proposed as an interesting strong form alternative to standard Galerkin approaches, characterized by a significantly reduced computational cost, but still guaranteeing higher order convergence rates.
REALI, ALESSANDRO, T. J. R. Hughes
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Determination of an Extremal in Two-Dimensional Variational Problems Based on the RBF Collocation Method. [PDF]
Entropy (Basel), 2022 Golbabai A +2 more
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A TPS-based numerical method for simulating the non-linear diffusion logistic population model
Frontiers in PhysicsThe Fisher–Kolmogorov–Petrovsky–Piskunov equation is a diffusive logistic model for the population density of an invasive species. This paper presents a one-level numerical simulation of the non-linear diffusion logistic population model using the thin ...
Yingjie Mei, Fuzhang Wang, Enran Hou
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Solution of nonlinear mixed integral equation via collocation method basing on orthogonal polynomials. [PDF]
Heliyon, 2022 Jan AR.
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