An improved method based on Haar wavelets for numerical solution of nonlinear integral and integro-differential equations
of first and higher orders.
The applications they describe are numerical solutions of partial differential equations, integro-differential equations
, image and signal processing, and time-series processing.
Staffans, A direct Lyapunov approach to Volterra integro-differential equations
, SIAM J.
Goltser, "Stability of partial functional integro-differential equations
," Journal of Dynamical and Control Systems, vol.
A quartic B-spline collocation method is proposed for numerical solution of partial integro-differential equations
with a weakly singular kernel.
2010) "A series solution of the nonlinear Volterra and Fredholm integro-differential equations
," Communications in Nonlinear Science and Numerical Simulation, vol.
Ghorbani, "He's homotopy perturbation method: an effective tool for solving nonlinear integral and integro-differential equations
," Computers & Mathematics with Applications, vol.
Kaughten, The method of lines for parabolic partial integro-differential equations
Work is was performed as part of the scientific program for basic research RK Ministry of Education "Solution new mathematical methods of nonlinear differential and integro-differential equations
of fundamental and applied problems of mechanics of solid and deformable solids" (Contractfor research No.
Rao, Theory of Integro-differential Equations
, Stability and Control: Theory, Methods and Applications 1, Gordon and Breach Publ.
Kanagarajan, Existence of solutions of fuzzy delay integro-differential equations
with nonlocal condition, Journal of the Korea Society for Industrial and Applied Mathematics, 9 (2005) 65-74.
If an observation point is situated on an impedance body surface S then we arrive at a system of integro-differential equations