Abstract
The review of some models of economy based on application of the ordinary differential equations is provided in article linear and nonlinear, and also the review of approximate methods of their decision. Expediency of use of this or that numerical metods of the solution of the differential equations is shown. For some equations of continuous models of economy in work the approximate method is offered and reasonable. Estimates of convergence of approximate methods are given in the corresponding functional spaces. Results of the numerical solution of these equations in the form of tables and schedules are also received. The comparative analysis of the received results is carried out. DOI: 10.5901/mjss.2015.v6n1s3p198
Highlights
The review of some models of economy based on application of the ordinary differential equations is provided in article linear and nonlinear, and the review of approximate methods of their decision
Estimates of convergence of approximate methods are given in the corresponding functional spaces
The comparative analysis of the received results is carried out. It is known [1,2] that some continuous models of economy, for example, investigating economic dynamics, defining evolutions of economic systems are closely connected with the differential equations, with systems of the differential equations of the first order which, in turn, at the decision lead to the equations of the highest orders
Summary
The review of some models of economy based on application of the ordinary differential equations is provided in article linear and nonlinear, and the review of approximate methods of their decision. Expediency of use of this or that numerical metol of the solution of the differential equations is shown. For some equations of continuous models of economy in work the approximate method is offered and reasonable. Estimates of convergence of approximate methods are given in the corresponding functional spaces. Results of the numerical solution of these equations in the form of tables and schedules are received. The comparative analysis of the received results is carried out
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