isogeometric solution of second order ordinary differential equations

in this research, based on the concept of isogeometric analysis, an algorithm is developed for solving second order ordinary differential equations. in isogeometric analysis method, solution of differential equations are considered as imaginary curves or surfaces which are constructed by using advanced versions of splines such as non-uniform rational b-splines (nurbs). in the same manner, coefficients of differential equations, which themselves might be functions in general, can be assumed as other imaginary curves or surfaces. an iga framework is created in matlab to solve problems. the analysis result is compared with exact and other methods solutions. finally, the effect of different parameters on the solution of an example is investigated.