Commenced in January 2007
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Edition: International
Paper Count: 33122
Numerical Treatment of Matrix Differential Models Using Matrix Splines
Authors: Kholod M. Abualnaja
Abstract:
This paper consider the solution of the matrix differential models using quadratic, cubic, quartic, and quintic splines. Also using the Taylor’s and Picard’s matrix methods, one illustrative example is included.
Keywords: Matrix Splines, Cubic Splines, Quartic Splines.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1099826
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[1] E. Defez, J. Sastre, J. Ibánez and P.A. Ruiz, Computing Matrix Functions Solving Coupled Differential Models, Mathematical and Computer Modelling, 50(5-6), 831-839, (2009).
[2] M.M. Tung, E. Defez and J. Sastre, Numerical Solutions of Second- Order Matrix Models Using Cubic-Matrix Splines, Computers and Mathematics with Applications, 56(10), 2561-2571, (2008).
[3] A. Borhanifar, R. Abazari, Numerical Solution of Second-Order Matrix Differential Models Using Cubic Matrix Splines, Journal of Applied Mathematical Sciences, 1(59), 2927-2937, (2007).
[4] E. Defez, A. Hervas, L. Soler, and M.M. Tung, Numerical Solutions of Matrix Differential Models Using Cubic Matrix Splines II, Journal of Mathematical and Computer Modelling, 46(5-6), 657-669, (2007).
[5] C.C. Christara, Kit Sun Ng, Adaptive Techniques for Spline Collocation, Journal of Computing, 76(3-4), 259-277, (2006).
[6] E. Defez, L. Soler, A. Hervas and C. Santamaria, Numerical Solution of Matrix Differential Models Using Cubic Matrix Splines, Journal of Computers and Mathematics with Applications, 50(5-6), 693-699, (2005).
[7] A.S.V. Ravi Kanth, Y.N. Reddy, Cubic Spline for a Class of Singular Two- Point Boundary Value Problems, Journal of Applied Mathematics and Computation, 170(2), 733-740, (2005).
[8] R. Company, E. Defez and L. Jódar, Exact and Analytic Numerical Solution of Coupled Parabolic Mixed Problems in a Semi-Infinite Medium, Computers and Mathematics with Applications, 47(2-3), 381- 390, (2004).
[9] M.A. Noor, E.A. Al-Said, Quartic Splines Solutions of Third-Order Obstacle Problems, Journal of Applied Mathematics and Computation, 153(2), 307–316, (2004).
[10] E.A. Al-Said, M.A. Noor, Cubic Splines Method for a System of Third- Order Boundary Value Problems, Journal of Applied Mathematics and Computation, 142(2-3), 195–204, (2003).