Research On Numerical Solution Of Two Classes Of Linear Ordinary Differential Equations Based On Bernstein Polynomial

The study of differential equations has been one of the main problems ofcomputational mathematics research.Bernstein polynomials as a tool to study thetwo types of linear ordinary differential equation numerical solution with the initialconditions of the m order of linear integro-differential equations,numerical exampleis known,by the Bernstein polynomial collocation method for the results,with theLegendre polynomial collocation method proceeds with the same accuracy,but theBernstein polynomial collocation method do not discuss the sub-parity.The secondcategory of numerical solution of these equations by using Bernstein polynomialcollocation method for two order linear singular differential equations withboundary conditions,the equation does not require the non-singular,and the resultscompared with existing methods,the results have high accuracy.