The stability of collocation methods for VIDEs of second order.
Rawashdeh, Edris, McDowell, Dave, Rakesh, Leela (2005)
International Journal of Mathematics and Mathematical Sciences
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Rawashdeh, Edris, McDowell, Dave, Rakesh, Leela (2005)
International Journal of Mathematics and Mathematical Sciences
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Babak Shiri, Sedaghat Shahmorad, Gholamreza Hojjati (2013)
International Journal of Applied Mathematics and Computer Science
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In this paper, we deal with a system of integral algebraic equations of the Hessenberg type. Using a new index definition, the existence and uniqueness of a solution to this system are studied. The well-known piecewise continuous collocation methods are used to solve this system numerically, and the convergence properties of the perturbed piecewise continuous collocation methods are investigated to obtain the order of convergence for the given numerical methods. Finally, some numerical...
Rawashdeh, Edris, McDowell, Dave, Rakesh, Leela (2005)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Hadizadeh, M., Mohamadsohi, M. (2005)
Journal of Applied Mathematics
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Huang, Fengying, Liu, Bolian (2010)
The Electronic Journal of Combinatorics [electronic only]
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Karoui, Abderrazek (2005)
Journal of Inequalities and Applications [electronic only]
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Nair, M.T., Rajan, M.P. (2001)
Abstract and Applied Analysis
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Yang, Changsen, Yuan, Jiangtao (2006)
Journal of Inequalities and Applications [electronic only]
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Yao-Zhong Hu (1996)
Séminaire de probabilités de Strasbourg
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Hyam Abboud, Toni Sayah (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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We study a two-grid scheme fully discrete in time and space for solving the Navier-Stokes system. In the first step, the fully non-linear problem is discretized in space on a coarse grid with mesh-size and time step In the second step, the problem is discretized in space on a fine grid with mesh-size and the same time step, and linearized around the velocity computed in the first step. The two-grid strategy is motivated by the fact that under suitable assumptions,...