In this paper, quadratic and cubic polynomial and nonpolynomial spline functions based methods are presented to find approximate solutions to second order boundary value problems. Using these splineâ€¦ (More)

Fractional calculus is a natural extension of the integer order calculus and recently, a large number of applied problems have been formulated on fractional diÂ¤erential equations. Analytical solutionâ€¦ (More)

Fractional differential equations are widely applied in physics, chemistry as well as engineering fields. Therefore, approximating the solution of differential equations of fractional order isâ€¦ (More)

Fractional calculus became a vital tool in describing many phenomena appeared in physics, chemistry as well as engineering fields. Analytical solution of many applications, where the fractionalâ€¦ (More)

In this paper, we developed numerical methods of order O(h 2) and O(h 4) based on exponential spline function for the numerical solution of class of two point boundary value problems over aâ€¦ (More)

Methods of order two, four and six based on Exponential spline functions consisting of a polynomial part of degree three and an exponential part is developed to find approximation of linear andâ€¦ (More)

In this paper, we develop a numerical solution based on cubic B-spline collocation method. By applying Von-Neumann stability analysis, the proposed technique is shown to be unconditionally stable.â€¦ (More)

In this article, a fractional model of HIV/AIDS that includes treatment and a time delay is investigated. The global dynamics of the spread of the disease are discussed using the reproduction number.â€¦ (More)