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International Journal of Computer Mathematics Volume 23, 1987 - Issue 1
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Original Articles

A comparison of numerical o.d.e. solvers based on arithmetic and geometric means

D. J. Evans Department of Computer Studies, Loughborough University of Technology, Loughborough, Leicestershire, UK
&
B. B. Sanugi Department of Computer Studies, Loughborough University of Technology, Loughborough, Leicestershire, UK
Pages 37-62 | Received 01 Oct 1986, Published online: 19 Mar 2007

Citations (13)

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Read on this site (9)

Francisco R. Villatoro. (2010) Local error analysis of Evans–Sanugi, nonlinear one-step methods based on θ-means. International Journal of Computer Mathematics 87:5, pages 1009-1022.
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Francisco R. Villatoro. (2010) Stability by order stars for non-linear theta-methods based on means. International Journal of Computer Mathematics 87:1, pages 226-242.
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Francisco R. Villatoro. (2008) Exact finite-difference methods based on nonlinear means. Journal of Difference Equations and Applications 14:7, pages 681-691.
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Kao-Shing Hwang & Long-Yeu Chung. (1999) A novel numerical method on the resolution of the time-invariant systems response. International Journal of Computer Mathematics 71:2, pages 277-290.
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M. M Chawla & M. A. Al-Zanaidi. (1997) New L-stable modified trapezoidal formulas for the numerical integration of Y1=f(x, y). International Journal of Computer Mathematics 63:3-4, pages 279-288.
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M. M. Chawla, M.A. Al-Zanaidi: D.J. Evans. (1996) A class of generalized trapezoidal formulas for the numerical integration of . International Journal of Computer Mathematics 62:1-2, pages 131-142.
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Abdul-Majid Wazwaz. (1994) On the numerical solution of by a class of nonlinear trapezoidal formulas. International Journal of Computer Mathematics 51:3-4, pages 229-238.
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D.J. Evans & B.B. Sanugi. (1991) A comparison of nonlinear trapezoidal formulae for solving initial value problems. International Journal of Computer Mathematics 41:1-2, pages 65-79.
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B. B. Sanugi & D. J. Evans. (1990) New predictor corrector trapezoidal formulae for solving initial value problems. International Journal of Computer Mathematics 33:1-2, pages 77-94.
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Articles from other publishers (4)

T.R. Sivakumar & S. Savithri. (1996) A new nonlinear integration formula for ODEs. Journal of Computational and Applied Mathematics 67:2, pages 291-299.
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D.J. Evans & B.B. Sanugi. (1988) A nonlinear trapezoidal formula for the solution of initial value problems. Computers & Mathematics with Applications 15:1, pages 77-79.
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D.J. Evans & B.B. Sanugi. (1988) Numerical solution of the Goursat problem by a nonlinear trapezoidal formula. Applied Mathematics Letters 1:3, pages 221-223.
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D.J. Evans. (1988) A stable nonlinear mid-point formula for solving O.D.E.'s. Applied Mathematics Letters 1:2, pages 165-169.
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