system of first order ordinary differential equations
Báo cáo hóa học: " Research Article On Periodic Solutions of Higher-Order Functional Differential Equations" ppt
Ngày tải lên: 21/06/2014, 22:20
báo cáo hóa học: " Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type" doc
... nonlinear first order ordinary differential equations. Math Inequal Appl. 6, 477–485 (2003) 23. Luo, ZG, Shen, JH, Nieto, JJ: Antiperiodic boundary value problem for first -order impulsive ordinary differential equations. ... the existence of solutions for first- order nonlinear integro -differential equations with boundary value conditions. Our methods to prove the existence of solutions involve new differential inequalities and ... for first order impulsive integro -differential equations of mixed type. J Math Anal Appl. 296,8–20 (2004). doi:10.1016/j.jmaa.2003.12.047 8. Jankowski, T, Jankowski, R: On integro -differential equations...
Ngày tải lên: 21/06/2014, 02:20
Tài liệu Integration of Ordinary Differential Equations part 1 doc
... Integration of Ordinary Differential Equations 16.0 Introduction Problems involving ordinary differential equations (ODEs) can always be reduced to the study of sets of first -order differential equations. ... auxiliary variables. The generic problem in ordinary differential equations is thus reduced to the study of a set of N coupled first -order differential equations for the functions y i ,i=1,2, ,N, ... 1973, Computational Methods in Ordinary Differential Equations (New York: Wiley). Lapidus, L., and Seinfeld, J. 1971, Numerical Solution of Ordinary Differential Equations (New York: Academic...
Ngày tải lên: 15/12/2013, 04:15
Tài liệu Integration of Ordinary Differential Equations part 2 pptx
... 1973, Computational Methods in Ordinary Differential Equations (New York: Wiley). Lapidus, L., and Seinfeld, J. 1971, Numerical Solution of Ordinary Differential Equations (New York: Academic ... first order, but that have different coefficients of higher -order error terms. Adding up the right combination of these, we can eliminate the error terms order by order. That is the basic idea of ... to second -order is a true one, but you should recognize it as a statement about the 714 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF...
Ngày tải lên: 15/12/2013, 04:15
Tài liệu Integration of Ordinary Differential Equations part 3 doc
... 722 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... ,n−1 y(x+H)≈y n ≡ 1 2 [z n +z n−1 +hf(x + H, z n )] (16.3.2) 714 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... informationcan beobtained. Obviously, 720 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 4 ppt
... 722 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... Initial Value Problems in Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall). [1] Cash, J.R., and Karp, A.H. 1990, ACM Transactions on Mathematical Software , vol. 16, pp. 201– 222. ... a second -order method, like (16.1.2), but with the advantage of requiring(asymptoticallyfor large n) only one derivative evaluation per step h instead of the two required by second -order Runge-Kutta....
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 5 pdf
... extrapolate each component of a vector of quantities. 728 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN ... solutions to ordinary differential equations with minimal computational effort. (A possible exception, infrequently encountered in practice, is discussed in Đ16.7.) 726 Chapter 16. Integration of Ordinary ... differential equations. For n k subdivisions in H, the number of function evaluations can be found from the recurrence A 1 = n 1 +1 A k+1 = A k + n k+1 (16.4.6) 730 Chapter 16. Integration of Ordinary Differential...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 6 pdf
... [3] 16.5 Second -Order Conservative Equations Usually when you have a system of high -order differential equations to solve it is best to reformulate them as a system of rst -order equations, as discussed ... vol. 27, pp. 505–535. 16.6 Stiff Sets of Equations As soon as one deals with more than one first -order differential equation, the possibility of a stiff set of equations arises. Stiffness occurs ... compatibility with bsstep the arrays y and d2y are of length 2n for a system of n second -order equations. The values of y arestoredinthefirstnelements of y, while the first derivatives are stored in...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 7 pptx
... compatibility with bsstep the arrays y and d2y are of length 2n for a system of n second -order equations. The values of y arestoredinthefirstnelements of y, while the first derivatives are stored in ... vol. 27, pp. 505–535. 16.6 Stiff Sets of Equations As soon as one deals with more than one first -order differential equation, the possibility of a stiff set of equations arises. Stiffness occurs ... form of the midpoint rule: y n+1 − y n−1 =2hf y n+1 + y n−1 2 (16.6.29) 738 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 8 pdf
... Problems in Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall), Chapter 9. [1] Shampine, L.F., and Gordon, M.K. 1975, Computer Solution of Ordinary Differential Equations. The ... been, we think, squeezed 752 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... adjusting the stepsize is difficult. 748 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright...
Ngày tải lên: 24/12/2013, 12:16
báo cáo hóa học:" Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case" pot
... Difference Equations Volume 2010, Article ID 594783, 19 pages doi:10.1155/2010/594783 Research Article Error Bounds for Asymptotic Solutions of Second -Order Linear Difference Equations II: The First ... asymptotic solutions of second -order linear differential equations, the method used in Wong and Li’s papers cannot give us way to obtain error bounds of these asymptotic solutions. Only order estimations ... and M. Vianello, “Liouville-Green approximations for a class of linear oscillatory difference equations of the second order, ” Journal of Computational and Applied Mathematics,vol.41,no.1-2,pp. 105–116,...
Ngày tải lên: 21/06/2014, 11:20
báo cáo hóa học:" Research Article Nonoscillation of First-Order Dynamic Equations with Several Delays" pdf
... delay dynamic equations of first order, ” Advances in Difference Equations, vol. 2008, Article ID 458687, 12 pages, 2008. 10 H. A. Agwo, “On the oscillation of first order delay dynamic equations with ... uniqueness of solutions to systems of delay dynamic equations on time scales,” http://arxiv.org/abs/1001.0737v3 . 6 M. Bohner, “Some oscillation criteria for first order delay dynamic equations, ” ... Article Nonoscillation of First- Order Dynamic Equations with Several Delays Elena Braverman 1 and Basáak Karpuz 2 1 Department of Mathematics and Statistics, University of Calgary, 2500 University...
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Báo cáo hóa học: " Research Article A Generalized Wirtinger’s Inequality with Applications to a Class of Ordinary Differential Equations" docx
Ngày tải lên: 22/06/2014, 02:20
Báo cáo hóa học: " Research Article Iterated Oscillation Criteria for Delay Dynamic Equations of First Order" pdf
Ngày tải lên: 22/06/2014, 11:20
STABILITY OF PERIODIC SOLUTIONS OF FIRST-ORDER DIFFERENCE EQUATIONS LYING BETWEEN LOWER AND UPPER pptx
Ngày tải lên: 23/06/2014, 00:20
