Solution of nonlinear mixed integral equation via collocation method basing on orthogonal polynomials

[1]  M. A. Abdou,et al.  Solvability of Quadratic Integral Equations with Singular Kernel , 2022, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences).

[2]  A. M. Al-Bugami Numerical Treating of Mixed Integral Equation Two-Dimensional in Surface Cracks in Finite Layers of Materials , 2022, Advances in Mathematical Physics.

[3]  M. A. Abdou,et al.  Solvability of Quadratic Integral Equations with Singular Kernel , 2022, Proceedings of NAS RA. Mathematics.

[4]  M. Basseem,et al.  On the Solution of Quadratic Nonlinear Integral Equation with Different Singular Kernels , 2020 .

[5]  Marissa Condon,et al.  Spectral computation of highly oscillatory integral equations in laser theory , 2019, J. Comput. Phys..

[6]  C. Brezinski,et al.  Extrapolation methods for the numerical solution of nonlinear Fredholm integral equations , 2019, Journal of Integral Equations and Applications.

[7]  R. Katani Numerical solution of the Fredholm integral equations with a quadrature method , 2018, SeMA Journal.

[8]  Shareefa Eisa Ali Alhazmi New Model for Solving Mixed Integral Equation of the First Kind with Generalized Potential Kernel , 2017 .

[9]  M. Abdou,et al.  Solution of mixed integral equation in position and time using spectral relationships , 2017 .

[10]  Farshid Mirzaee,et al.  Application of Fibonacci collocation method for solving Volterra-Fredholm integral equations , 2016, Appl. Math. Comput..

[11]  T. Elzaki,et al.  Note on new homotopy perturbation method for solving non-linear integral equations , 2016 .

[12]  S. Bakhshayesh Discontinuous Galerkin Approximations for Volterra Integral Equations of the First Kind with Convolution Kernel , 2015 .

[13]  A. Ismail,et al.  Equivalence between homotopy perturbation method and Adomian decomposition method in solving two dimensional linear Fredholm integral equations , 2014 .

[14]  M. Khader,et al.  An Integral Collocation Approach Based on Legendre Polynomials for Solving Riccati, Logistic and Delay Differential Equations , 2014 .

[15]  K. Baxevanakis,et al.  Some basic contact problems in couple stress elasticity , 2014 .

[16]  Keyan Wang,et al.  Taylor polynomial method and error estimation for a kind of mixed Volterra-Fredholm integral equations , 2014, Appl. Math. Comput..

[17]  Somayeh Nemati,et al.  Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials , 2013, J. Comput. Appl. Math..

[18]  Emran Tohidi,et al.  Optimal control of nonlinear Volterra integral equations via Legendre polynomials , 2013, IMA J. Math. Control. Inf..

[19]  M. Khader On the numerical solutions for the fractional diffusion equation , 2011 .

[20]  M. Abdou,et al.  A main theorem of spectral relationships for Volterra–Fredholm integral equation of the first kind and its applications , 2010 .

[21]  J. Dussauge,et al.  Shock wave boundary layer interaction , 2009 .

[22]  M. Abdou,et al.  On a symptotic methods for Fredholm--Volterra integral equation of the second kind in contact problems , 2003 .

[23]  Christian Constanda,et al.  Integral equations of the first kind in plane elasticity , 1995 .

[24]  A. Soliman,et al.  ANALYTICAL RESULTS FOR QUADRATIC INTEGRAL EQUATIONS WITH PHASE-CLAG TERM , 2020, Journal of Applied Analysis & Computation.

[25]  M. Abdou,et al.  Fundamental contact problem and singular mixed integral equation , 2014 .

[26]  Mahmoud Paripour,et al.  Numerical solution of nonlinear Volterra-Fredholm integral equations by using new basis functions , 2013 .

[27]  H. Almasieh,et al.  HYBRID FUNCTIONS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR SOLVING NONLINEAR FREDHOLM INTEGRAL EQUATIONS , 2013 .