Volume 68 | Issue 9 | Year 2022 | Article Id. IJMTT-V68I9P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I9P507
Received | Revised | Accepted | Published |
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30 Jul 2022 | 05 Sep 2022 | 17 Sep 2022 | 27 Sep 2022 |
This study aim to introduce and expose the ties of matlab to the mathematician throughout the solutions of linear differential equations , with some of its physical applications. The study go throughout the linear differential equations and its types, also it explains what is modeling of linear ordinary differential equations also the study explained the solution of linear ordinary differential equations with matlab.
[1] A. Gilat, “ Matlab : An Introduction with Applications,” John Wiley and Sons, 2004.
[2] Brain H.Hahn and Daniel T.Valentine, “Essential Matlab for Engineers and Scientists,” 3rd Edition, Butterwort, Heinemann, 2007.
[3] C.B Moler, “Numerical Computing With Matlab ,” Siam, 2004.
[4] C.F Van, “Loan Introduction to Scientific Computing,” Prentice Hall,1997.
[5] David A.Sanchoz , “Ordinary Differential Equation and Stability Theory and Introduction ,” W H Ferman and Company, 1968.
[6] David Haucque , “Introduction to Matlab for Engineering Students,” Northwestern University, 2005.
[7] David Kuncicky, “Matlab Programming,” Pearson , 2003.
[8] D. Houncque, “Applications of Matlab Ordinary Deferential Equations,” Internal Communication, Northwestern University, Pages 1- 12, 2005.
[9] D. J. Higham and N.J Higham, “Matlab Guide,” Siam, Second Edition , 2005.
[10] D. Kahaner, C. Moler, and S. Nash, “Numerical Methods and Software,” Prentice. Hall , 1989.
[11] Erwin Kreyszing , “Advanced Engineering Mathematic,” Anna Publishers ,1990.
[12] George W.Bluman and Stephen C.Anco , “Symmetry and Integration Methods for Differential Equations,” Springer Veriag , New York , 2002.
[13] Hugh D.Young , Physics , Eight Edition, Addison,Wesley Publishing Company ,1972.
[14] J. Cooper, “A Matlab Companion for Multivariable Calculus,” Academic Pres , 2001.
[15] J. David Logan , “ A First Course In Differential Equations ,” Springers Science + Business Media , Inc New York , 2006.
[16] J. G Polking and D.Arnold, “Ode Using Matlab,” Prentice Hall, 2004.
[17] J.W. Demmel, “Applied Numerical Linear Algabra,” Siam 1997.
[18] K.R Coombes, B.R Hunt, R.L, Lipsman, J.E. Osborn, and G.J Stuck, “Differential Equations with Matlab,” John Wiley and Sons, 2000.
[19] Loan I.Vratic , “Differential Equation an Introduction to Basic Concepts ,Results and Application ,” World Scientific Co. Pt. Ltd , 5 Ton Link , Singapore 596224 , 2004.
[20] Merle C.Potter and Jack Goldbery , “Mathematical Methods ,” 2nd Edition ,Prentice Tall , Inc Englewood , New Jersey C7632 , Usa. 2003.
[21] Paul Dawkins , “Differential Equations ,” http//Tutorial.Math.Lamar.Edu/Terms.Aspx.Net, 2007.
[22] William R.Derrick and Stanley I.Grossman , “A First Course in Differential Equations ,” 3rd Edition , West Publisher Company , St Paul , 1987.
[23] Syvertp.Norsett and Ernst Hairer and Wonner , “Solving Ordinary Differential Equations ,” 3rd Edition , Springer Verlag, Berlin Heideberg , 2008.
[24] S.J. Chapman, “Matlab Programming for Engineer,” Thomson, 2004.
[25] “The Math Works Inc,” Matlab 7.0 (R14sp2), The Math Works Inc, 2005.
Abdel Radi Abdel Rahman Adel Gadir Abdel Rahman, Hala Mohamed Hamed Ali, Hassan Abdelrhman Mohammed Elnaee, Abdelmoniem Makkawi Hamid, "Instructions the Modeling of Linear Ordinary Differential Equations using Matlab," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 9, pp. 39-50, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I9P507