In this paper the solution of the Volterra integro-differential equations of fractional order is presented. The proposed method consists in constructing the functional series, sum of which determines the function giving the solution of considered problem. We derive conditions under which the solution series, constructed by the method is convergent. Some examples are presented to verify convergen...

the purpose of this study is to examine the relationship between epistemological and motivational beliefs about mathematics among gifted students. to this end , 334 first year high school gifted students were selected through applying the otis intelligence test. epistemological beliefs questionnaire (ebq) and motivational beliefs about mathematics scale (mbms) were also used as measurement inst...

In this paper an example from the history of mathematics is presented and its educational utility is investigated, with reference to pupils aged 16-18 years. Students’ behaviour is examined: we conclude that historical examples are useful in order to improve teaching of infinite series; however their effectiveness must be verified by the teacher using experimental methods, and the primary impor...

We develop a mass-conservative characteristic finite element scheme for convection diffusion problem. This scheme preserves the mass balance identity. It is proved that the scheme is unconditionally stable and convergent with first order in time increment and k-th order in element size when the Pk element is employed. Some numerical examples are presented to show the efficiency of the present s...

urysohn integral equation is one of the most applicable topics in both pure and applied mathematics. the main objective of this paper is to solve the urysohn type fredholm integral equation. to do this, we approximate the solution of the problem by substituting a suitable truncated series of the well known legendre polynomials instead of the known function. after discretization of the problem o...