Random analytic solution of coupled differential models with uncertain initial condition and source term

Computers and Mathematics with Applications

Volumn 56, Issue 3, 2008, Pages 785-798

  Calbo, Gema ^a   Cortés, Juan Carlos ^a   Jódar, Lucas ^a  

^a UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

Mean square; Power series solution; Random differential equation

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; FLOW FIELDS; INITIAL VALUE PROBLEMS; MATHEMATICAL MODELS;

ANALYTIC SOLUTIONS; DIFFERENTIAL MODELS; ELSEVIER (CO); ILLUSTRATIVE EXAMPLES; INITIAL CONDITIONS; INITIAL VALUES; MEAN SQUARE (MS); POWER SERIES SOLUTIONS; RANDOM SERIES; SERIES SOLUTIONS; SOURCE TERMS; STATISTICAL FUNCTIONS; STOCHASTIC PROCESSING;

RANDOM PROCESSES;

EID: 45049084048     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2008.02.003     Document Type: Article

References (12)

1. Soong T.T. Random Differential Equations in Science and Engineering (1973), Academic Press, New York
2. Barron R., and Ayala A.G. El método de yuxtaposición de dominios en la solución numérica de ecuaciones diferenciales estocásticas. In: Oñate E., et al. (Ed). Proc. Métodos Numéricos en Ingeniería y Ciencias Aplicadas (2002), CIMNE, Barcelona 267-276 (in Spanish)
3. Soong T.T., and Grigoriu M. Random Vibration of Mechanical and Structural Systems (1993), Prentice Hall, México
4. Kegan B., and West R.W. Modeling the simple epidemic with deterministic differential equations and random initial conditions. Math. Biosci. 195 (2005) 179-193
5. Braumann C.A. Variable effort fishing models in random environments. Math. Biosci. 156 (1999) 1-19
6. Jódar L., Cortés J.C., and Morera J.L. Construction and computation of variable coefficient differential problems. Comput. Math. Appl. 32 8 (1996) 41-50
7. Jódar L., Cortés J.C., and Villafuerte L. Reliable numerical solutions of random differential systems. In: Suárez M.C., et al. (Ed). Proc. (in CD) 4th Internat. Congress, 2nd National Congress Numerical Methods in Engineering and Applied Sciences (2007), U.M.S.N.H., México
8. Cortés J.C., Jódar L., and Villafuerte L. A random Euler method for solving differential equations with uncertainties. 14th E.C.M.I. (European Conference on Mathematics for Industry). Book of Abstracts 101 (2006), Madrid
9. Golub G., and Van Loan C.F. Matrix Computations (1989), The Johns Hopkins University Press, Baltimore, MD
10. Cortés J.C., Sevilla-Peris P., and Jódar L. Analytic-numerical approximating processes of diffusion equation with data uncertainty. Comput. Math. Appl. 49 (2005) 1255-1266
11. Dieudonné J. Foundations of Modern Analysis (1960), Academic Press, New York
12. J.C. Cortés, L. Jódar, L. Villafuerte, Random linear-quadratic mathematical models: Computing explicit solutions and applications, Math. Comput. Simulation (in press)