Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type
Copyright policy )Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type
We present an efficient iterative method for solving a class of nonlinear second-order Fredholm integrodifferential equations associated with different boundary conditions. A simple algorithm is given to obtain the approximate solutions for this type of equations based on the reproducing kernel space method. The solution obtained by the method takes form of a convergent series with easily computable components. Furthermore, the error of the approximate solution is monotone decreasing with the increasing of nodal points. The reliability and efficiency of the proposed algorithm are demonstrated by some numerical experiments.
- Al-Balqa` Applied University Jordan
- University of Jordan Jordan
Artificial intelligence, Fredholm theory, Class (philosophy), Convergent series, Geometry, Epistemology, Numerical methods for integral equations, Mathematical analysis, Quantum mechanics, Integro-ordinary differential equations, Engineering, Numerical Methods for Singularly Perturbed Problems, Numerical Methods, QA1-939, FOS: Mathematics, Series (stratigraphy), Boundary value problem, Biology, Anomalous Diffusion Modeling and Analysis, Integral equation, Numerical Analysis, Ecology, Fredholm integral equation, Physics, Mathematical optimization, Pure mathematics, Paleontology, Power series, Fredholm integral equations, Applied mathematics, Computer science, Iterative method, FOS: Philosophy, ethics and religion, Fracture Mechanics Modeling and Simulation, Philosophy, Mechanics of Materials, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Kernel (algebra), Nonlinear system, Simple (philosophy), Monotone polygon, Type (biology), Mathematics
Artificial intelligence, Fredholm theory, Class (philosophy), Convergent series, Geometry, Epistemology, Numerical methods for integral equations, Mathematical analysis, Quantum mechanics, Integro-ordinary differential equations, Engineering, Numerical Methods for Singularly Perturbed Problems, Numerical Methods, QA1-939, FOS: Mathematics, Series (stratigraphy), Boundary value problem, Biology, Anomalous Diffusion Modeling and Analysis, Integral equation, Numerical Analysis, Ecology, Fredholm integral equation, Physics, Mathematical optimization, Pure mathematics, Paleontology, Power series, Fredholm integral equations, Applied mathematics, Computer science, Iterative method, FOS: Philosophy, ethics and religion, Fracture Mechanics Modeling and Simulation, Philosophy, Mechanics of Materials, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Kernel (algebra), Nonlinear system, Simple (philosophy), Monotone polygon, Type (biology), Mathematics
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