TY - JOUR AU - Alipour, Mohsen AU - Rostamy, Davood PY - 2011 TI - Bernstein Polynomials for Solving Abels Integral Equation JO - Journal of Mathematics and Computer Science SP - 403--412 VL - 3 IS - 4 AB - This paper presents a numerical method for solving Abel’s integral equation as singular Volterra integral equations. In the proposed method, the functions in Abel’s integral equation are approximated based on Bernstein polynomials (BPs) and therefore, the solving of Abel’s integral equation is reduced to the solving of linear algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.03.04.06 DO - 10.22436/jmcs.03.04.06 ID - Alipour2011 ER -