Title of article
Solving Initial Value Problems with Mendeleev’s Quadrature
Author/Authors
Suryani, I Universitas Riau-FMIPA , Imran, M Universitas Riau-FMIPA , Gamal, m d h Universitas Riau-FMIPA
Pages
10
From page
75
To page
84
Abstract
This article presents the Mendeleev method to solve the ini-
tial value problems. The construction of this method using Mendeleev’s
quadrature is due to Pleshakov [Comp. Math. and Math. Phys., 52 2012), 211-212.] to approximate the integral f(s, Y (s))ds. We derive the local truncation error and show the stability region of the pro-posed method. The computational comparisons show that Mendeleev’s method is better than Euler’s method, midpoin method and Heun’s method
Keywords
Initial value problems , Mendeleev’s quadrature , Euler’s method , midpoint method , Heun’s method , stability region
Journal title
Astroparticle Physics
Serial Year
2017
Record number
2440249
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