Protection methods on integral equations with radiative heat-transfer application

In this work linear and non-linear Fredholm integral of second type and first order integro-differential equations are considered and solved numerically. The concern studies utilize the Projection methods with distinct orthogonal polynomials namely (Chebyshev, Legendre and Lagrange); several problems are tested and solved for each case, in order to obtain the efficiencies of our suggested methods. Also our techniques applied on radiative Heat-transfer where the collocation and Galerkin's are used and realistic results were obtained, the programs of all Procedures have been built to manipulate with MathCAD software application.