Pell-Lucas Collocation Method to Solve Second-Order Nonlinear Lane-Emden Type Pantograph Differential Equations

In this article, we present a collocation method for second-order nonlinear Lane-Emden type pantograph differential equations under intial conditions. According to the method, solution of problem is sought depending on Pell-Lucas polynomials. The polynomials are written in matrix form based standard bases. Then, and its derivatives also forms. Next, transformation constituted proportion delay form. By using solution, term equation expressed obtained forms equally spaced points, turned into an algebraic system equations. gives coefficient addition, error estimation residual improvement technique presented. All presented methods applied three examples. results applications tables graphs. compared with other literature.