{"title":"Power Series Form for Solving Linear Fredholm Integral Equations of Second Order via Banach Fixed Point Theorem","authors":"Adil AL-Rammahi","volume":85,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":177,"pagesEnd":180,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9997656","abstract":"
In this paper, a new method for solution of second order linear Fredholm integral equation in power series form was studied. The result is obtained by using Banach fixed point theorem.<\/p>\r\n","references":"[1]\tX. F. Li, \"Electro Elastic Analysis of an Anti-Plane Shear Crack in a Piezoelectric Ceramic Strip\u201d, International, Journal of Solids and Structures 39, 2002, pp1097\u20131117.\r\n[2]\tA. Borzabadi and O. Fard, \"Approximate Solution of Nonlinear Fredholm Integral Equations of the First Kind via Converting to Optimization Problems\u201d, World Academy of Science, Engineering and Technology, Vol: 9 2007, pp802-805.\r\n[3]\tP. Malits, \"Torsion of a Cylinder with a Shallow External Crack\u201d, International Journal of Solids and Structures 46, 2009, pp 3061\u2013 3067.\r\n[4]\tN. Parandin, and M. Araghi, \"The Approximate Solution of Linear Fuzzy Fredholm Integral Equations of the Second Kind by Using Iterative Interpolation\u201d, World Academy of Science, Engineering and Technology, Vol: 25 2009, pp.907-913.\r\n[5]\tN.A. Bazarenko, \"The Contact Problem for a Circular Plate with a Stress-Free End Face\u201d, Journal of Applied Mathematics and Mechanics, 74, 2010, pp. 699\u2013709.\r\n[6]\tK. Maleknejad, R. Mollapourasl,P. Torabi and M. Alizadeh, \"Solution of First Kind Fredholm Integral Equation by Sinc Function\u201d, World Academy of Science, Engineering and Technology, Vol:42 2010, pp.1539-1543.\r\n[7]\tC. Gu & Y. Tao, \"Function-Valued Pad\u00e9-Type Approximant via E-Algorithm and Its Applications in Solving Integral Equations\u201d, Applied Mathematics and Computation 217, 2011, pp 7975\u20137984.\r\n[8]\tE. Aruchunan and J. Sulaiman, \"Application of the Central-Difference with Half Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-Differential Equations\u201d, World Academy of Science, Engineering and Technology, International Journal of Mathematical Science and Engineering Vol:68, 2012,pp.335-339.\r\n[9]\tJ. Hou, C. Yang, B. Qin, \"Hybrid Function Method for Solving Non Linear Fredholm Integral Equations of The Second Kind\u201d, World Academy of Science, Engineering and Technology, International Journal of Mathematical Science and Engineering Vol: 7 No: 2, 2013, pp.729-732.\r\n[10]\tJ. Jerry, \"Introduction to Integral Equations with Applications\u201d, Marcel Dekker, INC, 1985.\r\n[11]\tJ. Hutchinson, \"Fractals and Self-Similarity\u201d, Journal of Indiana University Mathematics, 30, 1981, pp.713-740. \r\n","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 85, 2014"}