Affiliation:
1. Mathematics Department, Faculty of Sciences, Umm Al-Quraa University, Makkah 24227, Saudi Arabia
Abstract
Under certain assumptions, the existence of a unique solution of mixed integral equation (MIE) of the second type with a symmetric kernel is discussed, in L2[Ω]×C0,T,T<1,Ω is the position domain of integration and T is the time. The convergence error and the stability error are considered. Then, after using the separation technique, the MIE transforms into a system of Hammerstein integral equations (SHIEs) with time-varying coefficients. The nonlinear algebraic system (NAS) is obtained after using the degenerate method. New and special cases are derived from this work. Moreover, numerical results are computed using MATLAB R2023a software.
Reference20 articles.
1. New Model for Solving Mixed Integral Equation of the First Kind with Generalized Potential Kernel;Alhazmi;J. Math. Res.,2017
2. Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials;Nemati;J. Comput. Appl. Math.,2013
3. Spectral Legendre-Chebyshev treatment of 2d linear and nonlinear mixed Volterra-Fredholm integral equation;Hafez;Math. Sci. Lett.,2020
4. Analytical results for quadratic integral equations with phase-clag term;Abdou;J. Appl. Anal. Comput.,2020
5. Solvability of a coupled system of functional integro-differential equations with infinite point and Riemann-Stieltjes integral conditions;Ahmed;Appl. Math. Comput.,2020