TY - JOUR
ID - 15994
TI - Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Bazm, Sohrab
AD - Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.
Y1 - 2016
PY - 2016
VL - 03
IS - 1
SP - 37
EP - 51
KW - Nonlinear two-dimensional integral equations
KW - Bernoulli polynomials
KW - Collocation method
KW - Operational matrices
DO -
N2 - In this study, the Bernoulli polynomials are used to obtain an approximate solution of a class of nonlinear two-dimensional integral equations. To this aim, the operational matrices of integration and the product for Bernoulli polynomials are derived and utilized to reduce the considered problem to a system of nonlinear algebraic equations. Some examples are presented to illustrate the efficiency and accuracy of the method.
UR - https://scma.maragheh.ac.ir/article_15994.html
L1 - https://scma.maragheh.ac.ir/article_15994_6d676e68a2b7a882c1334cdc50d1acf4.pdf
ER -