{"title":"Numerical Treatment of Matrix Differential Models Using Matrix Splines","authors":"Kholod M. Abualnaja","volume":87,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":625,"pagesEnd":629,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10000796","abstract":"
This paper consider the solution of the matrix
\r\ndifferential models using quadratic, cubic, quartic, and quintic
\r\nsplines. Also using the Taylor’s and Picard’s matrix methods, one
\r\nillustrative example is included.<\/p>\r\n","references":"[1] E. Defez, J. Sastre, J. Ib\u00e1nez and P.A. Ruiz, Computing Matrix\r\nFunctions Solving Coupled Differential Models, Mathematical and\r\nComputer Modelling, 50(5-6), 831-839, (2009).\r\n[2] M.M. Tung, E. Defez and J. Sastre, Numerical Solutions of Second-\r\nOrder Matrix Models Using Cubic-Matrix Splines, Computers and\r\nMathematics with Applications, 56(10), 2561-2571, (2008).\r\n[3] A. Borhanifar, R. Abazari, Numerical Solution of Second-Order Matrix\r\nDifferential Models Using Cubic Matrix Splines, Journal of Applied\r\nMathematical Sciences, 1(59), 2927-2937, (2007).\r\n[4] E. Defez, A. Hervas, L. Soler, and M.M. Tung, Numerical Solutions of\r\nMatrix Differential Models Using Cubic Matrix Splines II, Journal of\r\nMathematical and Computer Modelling, 46(5-6), 657-669, (2007).\r\n[5] C.C. Christara, Kit Sun Ng, Adaptive Techniques for Spline Collocation,\r\nJournal of Computing, 76(3-4), 259-277, (2006).\r\n[6] E. Defez, L. Soler, A. Hervas and C. Santamaria, Numerical Solution\r\nof Matrix Differential Models Using Cubic Matrix Splines, Journal of\r\nComputers and Mathematics with Applications, 50(5-6), 693-699,\r\n(2005).\r\n[7] A.S.V. Ravi Kanth, Y.N. Reddy, Cubic Spline for a Class of Singular\r\nTwo- Point Boundary Value Problems, Journal of Applied Mathematics\r\nand Computation, 170(2), 733-740, (2005).\r\n[8] R. Company, E. Defez and L. J\u00f3dar, Exact and Analytic Numerical\r\nSolution of Coupled Parabolic Mixed Problems in a Semi-Infinite\r\nMedium, Computers and Mathematics with Applications, 47(2-3), 381-\r\n390, (2004).\r\n[9] M.A. Noor, E.A. Al-Said, Quartic Splines Solutions of Third-Order\r\nObstacle Problems, Journal of Applied Mathematics and Computation,\r\n153(2), 307\u2013316, (2004).\r\n[10] E.A. Al-Said, M.A. Noor, Cubic Splines Method for a System of Third-\r\nOrder Boundary Value Problems, Journal of Applied Mathematics and\r\nComputation, 142(2-3), 195\u2013204, (2003).","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 87, 2014"}