International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

A four-point fully implicit method for the numerical integration of third-order ordinary differential equations

Awoyemi D. O
  • Awoyemi D. O
  • Department of Mathematics, Landmark University, Umuaru, Kwara State, Nigeria.
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Kayode S. J
  • Kayode S. J
  • Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria.
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Adoghe L. O.
  • Adoghe L. O.
  • Department of Mathematics, Ambrose Alli University, Ekpoma, Edo State, Nigeria.
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  •  Accepted: 13 January 2013
  •  Published: 28 January 2014

References

 

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http://dx.doi.org/10.1080/00207169908804832
 
Awoyemi DO (2003). A P-stable linear Multistep method for solving general third order ordinary differential equations. Int. J. Comput. Math. 80(8):987-993.
http://dx.doi.org/10.1080/0020716031000079572
 
Bruguano L, Trigiante D (1998). Solving differential Problems by Multistep Initial and Boundary Value Methods, Gordon and Breach Science Publishers, Amsterdam, pp. 280-299.
 
Butcher JC (2003). Numerical methods for ordinary differential equations, John Wiley & Sons, New York.
http://dx.doi.org/10.1002/0470868279
 
Fatunla SO (1988). Numerical Methods for initial value problems in ordinary differential Equations, Academic Press Inc. Harcourt Brace, Jovanovich Publishers, New York.
 
Henrici P (1962). Discrete Variable Method in Ordinary differential Equations, John Wiley & Sons, New York.
 
Lambert JD (1973). Computional Methods in ODEs. John Wiley & Sons, New York.
 
Olabode BT (2007). Some linear multistep methods for special and general third order initial value problems in ordinary differential equations. Ph.D thesis in the department of Mathematical Sciences, The Federal University of Technology, Akure.
 
Onumanyi P, Oladele JO, Adeniyi RB, Awoyemi DO (1993). Derivation of Finite difference method by collocation. Abacus 23(2):72-83.
 
Okunuga SA, Ehijie J (2009). New Derivation of continuous multistep methods using power series as basis function. J. Modern Math. Stat. 3(2).

 

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