A Computational Technique for Solving Three-Dimensional Mixed Volterra–Fredholm Integral Equations

In this article, a novel and efficient approach based on Lucas polynomials is introduced for solving three-dimensional mixed Volterra–Fredholm integral equations the two types (3D-MVFIEK2). This method transforms 3D-MVFIEK2 into system of linear algebraic equations. The error evaluation suggested scheme discussed. technique implemented in four examples to illustrate efficiency fulfillment approach. Examples numerical solutions both nonlinear were used. polynomial other approaches contrasted. A collection tables figures used present results. We observe that exact solution differs from if an exponential or trigonometric function, while same when polynomial. Maple 18 program produced all