scholarly journals Inverse linear multistep methods for the numerical solution of initial value problems of ordinary differential equations

1979 ◽  
Vol 33 (145) ◽  
pp. 111-124 ◽  
Author(s):  
Peter Alfeld
1967 ◽  
Vol 63 (2) ◽  
pp. 461-472 ◽  
Author(s):  
J. M. Watt

AbstractThe order and asymptotic form of the error of a general class of numerical method for solving the initial value problem for systems of ordinary differential equations is considered. Previously only the convergence of the methods, which include Runge-Kutta and linear multistep methods, has been discussed.


Author(s):  
Iļja Sučkovs ◽  
Aleksandrs Pikurs ◽  
Ilmārs Kangro

With the passage of time and the development of technology, humanity is exploring new unknown problems that require complex analytical and numerical mathematical solutions. Due to their complexity differential equations are often used for this purpose. The aim of this work is to solve mathematical models of initial value problems of ordinary differential equations using the analitical method and numerical solution using MAPLE software. Also authors have provided general information about differential equations and diferent ways how they can be solved. As a result have been created two mathematical models which describe process of Determination of the cooling time of a shot animal and decomposition of the radioactive substance. Similar methods are also used to determine the age of objects as well


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