The new numerical algorithms for solving multiplicative differential equations
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CitationMısırlı, E. ve Gürefe, Y. (2009). The new numerical algorithms for solving multiplicative differential equations. Maltepe Üniversitesi. s. 153.
The mathematical modelling of most phenomena in science and engineering are based on differential equations. But, one can observe that this is not possible to define some problems through classical concepts. While one problem can be easily expressed in one calculus, the same problem can not be expressed as easily as the others. From the point of view of M. Grossmann and R. Katz some new calculi were alternatively defined. Multiplicative calculus and multiplicative differential equations involving multiplicative derivatives become very important in recent studies. In this study, we define multiplicative Adams Bashforth-Moulton algorithms using the exponential Newton backward division formula for solving multiplicative differential equations. Afterwards, a problem is solved and the error estimations are considered. Solutions are compared with analytic ones.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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