Class of continuous methods for general second order initial value problems in ordinary differential equations

International Journal of Computer Mathematics

Volumn 72, Issue 1, 1999, Pages 29-37

  Awoyemi, D O ^a  

^a Kaduna Polytechnic   (Nigeria)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTER SOFTWARE; DIFFERENTIAL EQUATIONS; MATRIX ALGEBRA; ORDINARY DIFFERENTIAL EQUATIONS; POLYNOMIALS; PROBLEM SOLVING;

CONTINUOUS METHODS; GLOBAL ERROR ESTIMATION; LINEAR MULTISTEP METHODS; SECOND ORDER INITIAL VALUE PROBLEMS; STEPNUMBER;

NUMERICAL METHODS;

EID: 0033157801     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207169908804832     Document Type: Article

References (12)

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2. Awoyemi, D. O. "A two-step hybrid Multistep method with continuous coefficients for initial value problems of general second order differential equations". To appear.
3. Chawla, M. M. and Sharma, S. R. (1985). "Family of Three-Stage Third Order Runge-Kutta-Nystrom methods for y″=f(x,y,y′)", Journal of the Australian mathematical society, 26, 375-386.
4. Fatunla, S. O. (1988). "Numerical methods for initial value problems in ordinary differential equations", Academic press, Inc.
5. Gear, C. W. (1971a). "Algorithm 407: DIFSUB for solution of ODEs", Communications of the ACM, 14, 185-190.
6. Hairer, E. and Wanner, G. (1976). "A theory for Nystrom methods", Numerische mathematik, 25, 383-400.
7. Hairer, E. (1977). "Methods de Nystrom pour 1" equation Defferentielle y″=f(x,y)", Numerische mathematick 27, 283-300.
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9. Lambert, J. D. (1973a). "Computational methods in ODEs", New York: John Wiley.
10. Onumanyi, P., Awoyemi, D. O., Jator, S. N. Sirisena, U. W. (1994). "New linear multistep methods with continuous coefficients for first order IVPs". Journal of the Nigerian Mathematical society, 13, 37-51.
11. Onumanyi, P. and Jator, S. N. "A new direct method of integration of nonstiff ode's". To appear.
12. Taiwo, O. A. and Onumanyi, P. (1991). "A collocation approximation of singularly perturbed second order differential equation", Computer Mathematics, 39, 205-211.