Families of third, fourth and fifth order extended Nystrom methods for \(y'''=f( x,y)\)

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  • P. A. Sarma Indian Institute of Technology, Kharagpur, India
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References

Butcher, J.C., Coefficients for the study of Runge-Kutta Integration Processes, J. Austral. Math. Soc., 3 (1963), 185-201, https://doi.org/10.1017/s1446788700027932

Chawala, M.M. and Sharma, S.R., Families of direct fourth order methods for numerical solutions of general second order initial value problems, ZAMM, 69, (1980), 469-478, https://doi.org/10.1002/zamm.19800601004

Cawala, M.M. and Sharma, S.R., Families of three stage third order Runge-Kutta-Hyström methods for y′′=f(x,y,y′), J. Austral.Math. Soc.,B.26, (1985), 375-386, https://doi.org/10.1017/s0334270000004574

Chawala, M.M. and Sharma, S.R., Families of fifth order Nyström methods for y′′=f(x,y) and intervals of periodicity, Computing, 26 (1981), 247-256, https://doi.org/10.1007/bf02243482

Hairer, E. and Wanner, G., On the Butcher group and general multi value methods, Computing,13, (1974), 1-15, https://doi.org/10.1007/bf02268387

Hairer, E., and Wanner, G., A theory for Nyström methods, Numer. Math., 25 (1976), 383-400, https://doi.org/10.1007/bf01396335

Hairer, E., Methods de Nyström pour l'equation differentielle, y′′=f(x,y), Numer. Math., 27 (1977), 283-300, https://doi.org/10.1007/bf01396178

Hairer, E., Norsett, S.P., and Wanner, G., Solving ordinary differential equations-I, 1st ed. Springer, New York, 1987, https://doi.org/10.1007/978-3-662-12607-3

Nyström, E.J., Uber die numerische Integration non differentialgleichungen, Acta. soc. Sci. Fennicae, 50, No.11. 1925.

Sarma, P.A., A theory for Extended Nyström methods, sent for publication, 1989.

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Published

1991-08-01

How to Cite

Sarma, P. A. (1991). Families of third, fourth and fifth order extended Nystrom methods for \(y’’’=f( x,y)\). Anal. Numér. Théor. Approx., 20(1), 83–95. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1991-vol20-nos1-2-art12

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Vol 20, Nos 1-2 (1991)

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