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Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method
Volterra – Fredholm integral equations (VFIEs) have a massive interest from researchers recently. The current study suggests a collocation method for the mixed Volterra - Fredholm integral equations (MVFIEs)."A point interpolation collocation method is ...
Nahdh S. M. Al-Saif, Ameen Sh. Ameen
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Multi-quadric collocation model of horizontal crustal movement [PDF]
To establish the horizontal crustal movement velocity field of the Chinese mainland, a Hardy multi-quadric fitting model and collocation are usually used.
G. Chen, A. Zeng, F. Ming, Y. Jing
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A Survey on Isogeometric Collocation Methods with Applications
Isogeometric analysis (IGA) is an effective numerical method for connecting computer-aided design and engineering, which has been widely applied in various aspects of computational mechanics. IGA involves Galerkin and collocation formulations. Exploiting
Jingwen Ren, Hongwei Lin
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In this work we present a new numerical scheme based on orthogonal collocation method to solve a reacting flow problem. The method is based on recasting the problem to become a larger set of first order differential equations and we show by numerical ...
Moustafa A. Soliman, Khalid Alhumaizi
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Collocation Methods for Second Order Systems
Collocation methods for numerical optimal control commonly assume that the system dynamics is expressed as a first order ODE of the form x¿ = f(x, u, t), where x is the state and u the control vector. However, in many systems in robotics, the dynamics adopts the second order form q¨ = g(q, q¿, u, t), where q is the configuration.
Moreno Martín, Siro +2 more
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Simple and accurate approach for solving of nonlinear heat convective-radiative equation in fin by using the collocation method and comparison with HPM and VIM [PDF]
Collocation Method (CM) such as analytical technique, which does not need small parameters is here used to evaluate the analytical approximate solutions of the nonlinear heat transfer equation.
Rahimi Petroudi I. +4 more
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Stability of Chebyshev collocation methods
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
COSTABILE F, NAPOLI, Anna
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Sinc-Integral method to solve the linear Schrodinger equation [PDF]
The integral equation method is presented to solve the linear Schrodinger equation and obtain the eigenvalues. The eigenvalues obtained through this method are compared with Sinc-Collocation method.
Seyed Mohammad Ali Aleomraninjad +1 more
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Efficient Entropy Stable Gauss Collocation Methods [PDF]
The construction of high order entropy stable collocation schemes on quadrilateral and hexahedral elements has relied on the use of Gauss-Legendre-Lobatto collocation points and their equivalence with summation-by-parts (SBP) finite difference operators.
Chan, Jesse +2 more
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The present work investigates the optimum choice of collocation points which gives for а given accuracy the minimum number of collocation points. А convergence study has been conducted for the axisymmetric nonlinear analysis of а shallow spherical shell ...
Y. Nath, P.C. Dumir, M.L. Gandhi
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