system of nonlinear ordinary differential equations matlab

báo cáo hóa học: " Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping" ppt

... decay of solutions for a quaslinear system of viscoelastic equations. Nonlinear Anal. 71, 2257–2267(2009). doi:10.1016/j.na.2009.01.06022. Agre, K, Rammaha, MA: Systems of nonlinear wave equations ... (2006)23. Said-Houari, B, Messaoudi, SA, Guesmia, A: General decay of solutions of a nonlinear system of viscoelastic wave equations. Nonlinear Diff. Equ. Appl. (2011)24. Muñoz Rivera, JE: Global ... doi:10.1002/mma.34019. Han, XS, Wang, WM: Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source. Nonlinear Anal. 71, 5427–5450 (2009). doi:10.1016/j.na.2009.04.03120....

báo cáo hóa học:" Research Article Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Inﬁnite Interval" pot

Danh mục: Hóa học - Dầu khí

Báo cáo hóa học: "ON DISCRETE ANALOGUES OF NONLINEAR IMPLICIT DIFFERENTIAL EQUATIONS" docx

Danh mục: Báo cáo khoa học

Báo cáo hóa học: " Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders" pot

Danh mục: Hóa học - Dầu khí

Tài liệu Integration of Ordinary Differential Equations part 1 doc

Danh mục: Kỹ thuật lập trình

... Integration of Ordinary Differential Equations 16.0 IntroductionProblems involving ordinary differential equations (ODEs) can always bereduced to the study of sets of ﬁrst-order differential equations. ... auxiliary variables.The generic problem in ordinary differential equations is thus reduced to thestudy of a set of N coupled ﬁrst-order differential equations for the functionsyi,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 (NewYork: Academic...

Tài liệu Integration of Ordinary Differential Equations part 2 pptx

Danh mục: Kỹ thuật lập trình

... 1973,Computational Methods in Ordinary Differential Equations (New York: Wiley).Lapidus, L., and Seinfeld, J. 1971,Numerical Solution of Ordinary Differential Equations (NewYork: Academic ... 710Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright ... that derive from this basic 712Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright...

Tài liệu Integration of Ordinary Differential Equations part 3 doc

Danh mục: Kỹ thuật lập trình

... 722Chapter 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−1y(x+H)≈yn≡12[zn+zn−1+hf(x + H, zn)](16.3.2) 714Chapter 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, 720Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright...

Tài liệu Integration of Ordinary Differential Equations part 4 ppt

Danh mục: Kỹ thuật lập trình

... 722Chapter 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 (EnglewoodCliffs, NJ: Prentice-Hall). [1]Cash, J.R., and Karp, A.H. 1990,ACM Transactions on Mathematical Software, vol. 16, pp. 201–222. ... modiﬁed midpoint method, which advances a vector of dependent variables y(x) from a point x to a point x + H by a sequence of nsubsteps each of size h,h = H/n (16.3.1)In principle, one could...

Tài liệu Integration of Ordinary Differential Equations part 5 pdf

Danh mục: Kỹ thuật lập trình

... extrapolate eachcomponent of a vector of quantities. 728Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN ... methoda degree of robustness for problems with discontinuities.Let us remind you once again that scaling of the variables is often crucial forsuccessful integration of differential equations. The ... differential equations. For nksubdivisions in H, the number of function evaluations can be found from the recurrenceA1= n1+1Ak+1= Ak+ nk+1(16.4.6) 730Chapter 16. Integration of Ordinary Differential...

Tài liệu Integration of Ordinary Differential Equations part 6 pdf

Danh mục: Kỹ thuật lập trình

... Second-Order Conservative Equations Usually when you have a system of high-order differential equations to solve it is bestto 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, thepossibility 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...

Tài liệu Integration of Ordinary Differential Equations part 7 pptx

Danh mục: Kỹ thuật lập trình

... feature of implicit methods holds onlyfor linear systems, but even in the general case implicit methods give better stability. 742Chapter 16. Integration of Ordinary Differential Equations Sample ... form of the midpoint rule:yn+1− yn−1=2hfyn+1+ yn−12(16.6.29) 738Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC ... intermediate values of y and x.y[i]=ysav[i]+A31*g1[i]+A32*g2[i]; 736Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING...

Tài liệu Integration of Ordinary Differential Equations part 8 pdf

Danh mục: Kỹ thuật lập trình

... Problems in Ordinary Differential Equations (EnglewoodCliffs, 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 752Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright ... adjustingthe stepsize is difﬁcult. 748Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright...