TY - JOUR AU - Bagheri, Malihe AU - Bagheri, Mahnaz AU - Miralikatouli, Ebrahim PY - 2012 TI - Comparison Differential Transform Method with Homotopy Perturbation Method for Nonlinear Integral Equations JO - Journal of Mathematics and Computer Science SP - 288 - 296 VL - 5 IS - 4 AB - In this study, an application of differential transform method (DTM) is applied to solve the second kind of nonlinear integral equations such that Volterra and Fredholm integral equations. If the equation considered has a solution in terms of the series expansion of known function, this powerful method catches the exact solution. Comparison is made between the homotopy perturbation and differential transform method. The results reveal that the differential transform method is very effective and simple. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.05.04.06 DO - 10.22436/jmcs.05.04.06 ID - Bagheri2012 ER - TY - JOUR TI - Solution of a system of Volterra integral equations of the first kind by Adomian method AU - J. Biazar AU - E. Babolian AU - R. Islam JO - Appl. Math. Comput PY - 2003 DA - 2003// VL - 139 ID - Biazar2003 ER - TY - JOUR TI - solving linear integro-differential equation system by Galerkin methods with hybrid functions AU - K. Maleknejad AU - M. Tavassoli Kajani JO - Appl. Math. Comput. PY - 2004 DA - 2004// VL - 159 ID - Maleknejad2004 ER - TY - JOUR TI - solving linear integro-differential equations system by using rationalized Haar functions method AU - K. Maleknejad AU - F. Mirzaee AU - S. Abbasbandy JO - Appl. Math. Comput. PY - 2004 DA - 2004// VL - 155 ID - Maleknejad2004 ER - TY - JOUR TI - He’s homotopy perturbation method for system of integral equations AU - J. Biazar AU - H. Ghazvini AU - M. Eslami JO - Chaos solitons. Fractal PY - 2007 DA - 2007// VL - ID - Biazar2007 ER - TY - JOUR TI - Variational iteration method for solving integro-differential equations AU - S. Q. Wang AU - J. H. He JO - Phys. Lett.A. PY - 2007 DA - 2007// VL - 367 ID - Wang2007 ER - TY - JOUR TI - Homotopy technique and a perturbation technique for non-linear problems AU - J. H. He JO - Int J. Non linear Mech. PY - 2000 DA - 2000// VL - 35 ID - He2000 ER - TY - JOUR TI - Two-dimensional differential transform method, Adomian’s decomposition method, and variational iteration method for partial differential equations AU - N. Bildik AU - A. Konuralp JO - Int.J. Comput. Math. PY - 2006 DA - 2006// VL - 83 ID - Bildik2006 ER - TY - JOUR TI - New interpretation of homotopy perturbation method AU - J. H. He JO - Internat. J. Modern Phys. B. PY - 2006 DA - 2006// VL - 20 ID - He2006 ER - TY - JOUR TI - Some asymptotic methods for strongly nonlinear equations AU - J. H. He JO - Internat. J. Modern Phys. B. PY - 2006 DA - 2006// VL - 20 ID - He2006 ER - TY - BOOK TI - Differential Transform and its Application for Electrical Circuits AU - J. K. Zhou PB - Huazhong University Press, Wuhan PY - 1968 DA - 1968// CY - China ID - Zhou1968 ER - TY - JOUR TI - Flapwise bending vibration analysis of a rotating tapered cantilever Bernoulli-Euler bean by differential transform method AU - O. Ozdemir AU - M.O. Kaya JO - J. Sound Vid. PY - 2006 DA - 2006// VL - 289 ID - Ozdemir2006 ER - TY - JOUR TI - Solution of difference equations by using differential transform method AU - A. Arikoglu AU - I. Ozkol JO - Appl. Math. Comput. PY - 2006 DA - 2006// VL - 174 ID - Arikoglu2006 ER - TY - JOUR TI - Solution of differential-difference equations by using differential transform method AU - A. Arikoglu AU - I. Ozkol JO - Appl. Math. Comput. PY - 2006 DA - 2006// VL - 181 ID - Arikoglu2006 ER - TY - JOUR TI - Solution of fractial differential equations by using differential transform method AU - A. Arikoglu AU - I. Ozkol JO - Chaos Solitone. Fract. PY - 2007 DA - 2007// VL - 34 ID - Arikoglu2007 ER - TY - JOUR TI - Application of homotopy-perturbation method to the second kind of nonlinear integral equations AU - D. D. Ganji AU - G. A. Afrouzi AU - H. Hosseinzadeh AU - R. A. Talarposhti JO - Phys. Lett.A. PY - 2007 DA - 2007// VL - 371 ID - Ganji2007 ER - TY - JOUR TI - Differential Transform method for solving Volterra integral equations with separable kernels AU - Z. Odibat JO - Mathematics computational modeling PY - 2008 DA - 2008// VL - 48 ID - Odibat2008 ER -