The spline collocation method  is employed to solve a system of linear and nonlinear Fredholm and Volterra integro-differential equations. The solutions are collocated by cubic B-spline and the integrand is approximated by the Newton-Cotes formula. We obtain the unique solution for linear and nonlinear system $(nN+3n)times(nN+3n)$ of integro-differential equations. This approximation reduces th...

In present study is concerned with the propagation of axisymmetric vibrations in a homogenous isotropic micropolar thermoelastic cubic crystal plate bordered with layers or half spaces of inviscid liquid subjected to stress free boundary conditions in context of Lord and Shulman (L-S) and Green and Lindsay (G-L) theories of thermoelasticity. The secular equations for symmetric and skew-symmetri...

The purpose of this work is to investigate the convergence properties Green’s function method applied boundary value problems for functional differential equations. Recently, involving Picard and Mann iterations, a technique was developed (in Int. J. Computer Math. 95, no. 10 (2018) 1937-1949) third order equations, but without specifying proposed method. In improve aspect, here we establish ma...