nonlinear ordinary differential equations examples
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. ... 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 ... 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,...
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 ... REFERENCES AND FURTHER READING: Gear, C.W. 1971, Numerical Initial Value Problems in Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall). Acton, F.S. 1970, Numerical Methods ... 710 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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 ... REFERENCES AND FURTHER READING: Gear, C.W. 1971, Numerical Initial Value Problems in Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall). [1] Cash, J.R., and Karp, A.H. 1990, ACM ... ,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...
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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 ... REFERENCES AND FURTHER READING: Gear, C.W. 1971, Numerical Initial Value Problems in Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall). [1] Cash, J.R., and Karp, A.H. 1990, ACM ... ofthe modied midpointmethod tothe Bulirsch-Stoertechnique (Đ16.4) derives from a deep result about equations (16.3.2), due to Gragg. It turns out that the error of (16.3.2), expressed as a power...
Ngày tải lên: 24/12/2013, 12:16
Tài liệu Integration of Ordinary Differential Equations part 5 pdf
... 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 ... REFERENCES AND FURTHER READING: Gear, C.W. 1971, Numerical Initial Value Problems in Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall), Đ 6.1.4. Stoer, J., and Bulirsch, R. ... Method The techniques described in this section are not for differential equations containing nonsmooth functions. For example, you might have a differential equation whose right-handside involves a...
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Tài liệu Integration of Ordinary Differential Equations part 6 pdf
... 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 ... 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 in ... reason for this is explained below). This is so even 732 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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Tài liệu Integration of Ordinary Differential Equations part 7 pptx
... general case implicit methods give better stability. 742 Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN ... 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 COMPUTING (ISBN ... REFERENCES AND FURTHER READING: Gear, C.W. 1971, Numerical Initial Value Problems in Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall). [1] Kaps, P., and Rentrop, P. 1979, Numerische...
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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 ... REFERENCES AND FURTHER READING: Gear, C.W. 1971, Numerical Initial Value Problems in Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall). [1] Kaps, P., and Rentrop, P. 1979, Numerische ... Predictor-corrector methods have 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...
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nonlinear analysis & differential equations, an introduction - schmitt & thompson
Ngày tải lên: 31/03/2014, 15:56
ordinary differential equations and dynamical systems - g. teschl
... manuscript provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental ... the Melnikov method for homoclinic orbits. Keywords and phrases. Ordinary differential equations, dynamical systems, Sturm-Liouville equations. Typeset by A M S-L A T E X and Makeindex. Version: ... conditions. Furthermore we consider linear equations, the Floquet theorem, and the autonomous linear flow. Then we establish the Frobenius method for linear equations in the com- plex domain and investigates...
Ngày tải lên: 31/03/2014, 15:56
an introduction to ordinary differential equations
... a systematic way. 3.1 Ordinary and partial differential equations The most significant distinction is between ordinary and partial differential equa- tions, and this depends on whether ordinary or partial ... Summary of phase portraits for linear equations 301 31.1 *Jordan canonical form 301 Exercises 305 Part VI Coupled nonlinear equations 307 32 Coupled nonlinear equations 309 32.1 Some comments on ... derivatives). AN INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS This refreshing, introductory textbook covers standard techniques for solving ordi- nary differential equations, as well as introducing...
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garrett birkhoff, gian carlo rota ordinary differential equations 1989
Ngày tải lên: 12/06/2014, 16:08
báo cáo hóa học: " Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type" doc
... 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. ... conditions for differ- ential equations or impulsive differential equations. To the best of our knowledge it is the first article to deal with integro -differential equations with “an ti-peri odic” ... 34D09,34D99. Keywords: Boundary value problems, integro -differential equations, fixed-point motheds 1. Introduction and preliminaries As is known, integro -differential equations find many applications in various...
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báo cáo hóa học:" Research Article Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval" pot
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Báo cáo hóa học: " Research Article An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces" ppt
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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
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Báo cáo hóa học: " Research Article Necessary Conditions of Optimality for Second-Order Nonlinear Impulsive Differential Equations" docx
Ngày tải lên: 22/06/2014, 19:20
Báo cáo hóa học: "ON DISCRETE ANALOGUES OF NONLINEAR IMPLICIT DIFFERENTIAL EQUATIONS" docx
Ngày tải lên: 22/06/2014, 22:20
