Discussion of (2+1) dimensional mixed integral equation with singular kernel
DOI:
https://doi.org/10.56405/dngcrj.2024.09.01.07Keywords:
Quadratic mixed integral equation(QMIE), Volterra Fredholm Integral equation, Banach FPT, Singular kerne, Chebyshev Polynomial, FPT (Fixed point theorem)Abstract
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.
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