Discussion of (2+1) dimensional mixed integral equation with singular kernel

In this paper we discuss the uniqueness and existence of solution for a Quadratic Mixed Integral Equation (QMIE) on 2+1 dimensional in L2([0, a]×[0, b]×C[0, T]), (T < 1) space using fixed point theorem. Further we demonstrate convergence of the given existence result. Also we discuss the theoretical part of the Chybeshev polynomial method extending in 2+1 dimensional format and finally discuss the error analysis of the method.