TY - JOUR ID - 2166 TI - APPLICATION OF DIFFERENTIAL TRANSFORMS FOR SOLVING THE VOLTERRA INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS JO - Iranian Journal of Science JA - ISTT LA - en SN - 2731-8095 AU - MOHSENI MOGHADAM1, M. AU - SAEEDI, H. AD - Center of Excellence of Linear Algebra and Optimization, Shahid Bahonar University of Kerman, Kerman, I. R. of Iran, 76169-14111 AD - Department of Mathematics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, I. R. of Iran, 76169-14111 Y1 - 2010 PY - 2010 VL - 34 IS - 1 SP - 59 EP - 70 KW - Volterra KW - integro-partial differential equations KW - differential transforms DO - 10.22099/ijsts.2010.2166 N2 - In this paper, first the properties of one and two-dimensional differential transforms are presented.Next, by using the idea of differential transform, we will present a method to find an approximate solution fora Volterra integro-partial differential equations. This method can be easily applied to many linear andnonlinear problems and is capable of reducing computational works. In some particular cases, the exactsolution may be achieved. Finally, the convergence and efficiency of this method will be discussed with someexamples which indicate the ability and accuracy of the method. UR - https://ijsts.shirazu.ac.ir/article_2166.html L1 - https://ijsts.shirazu.ac.ir/article_2166_8243281113a57afc479e5a7c39a082e6.pdf ER -