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Multiplicative Adams Bashforth–Moulton methods

Authors :
Emine Misirli
Yusuf Gurefe
Source :
Numerical Algorithms. 57:425-439
Publication Year :
2010
Publisher :
Springer Science and Business Media LLC, 2010.

Abstract

The multiplicative version of Adams Bashforth---Moulton algorithms for the numerical solution of multiplicative differential equations is proposed. Truncation error estimation for these numerical algorithms is discussed. A specific problem is solved by methods defined in multiplicative sense. The stability properties of these methods are analyzed by using the standart test equation.

Subjects

Subjects :
Multiplicative calculus
Differential equation
Truncation error (numerical integration)
Applied Mathematics
Numerical analysis
Multiplicative function
Mathematical analysis
MathematicsofComputing_NUMERICALANALYSIS
Stability (learning theory)
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
Applied mathematics
Linear multistep method
Mathematics
Numerical stability

Details

ISSN :
15729265 and 10171398
Volume :
57
Database :
OpenAIRE
Journal :
Numerical Algorithms
Accession number :
edsair.doi...........8dd61f36a136376a90de8ec51f140bcd
Full Text :
https://doi.org/10.1007/s11075-010-9437-2
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