[PDF] Top 20 Using modified two-dimensional block-pulse functions for the numerical solution of nonlinear two-dimensional Volterra integral equations

... the Modified two-dimensional block-pulse functions (M2D-BFs) are used as a new set of basis functions for expanding two-dimensional ...solve nonlinear ... See full document

... For nonlinear determinate Volterra integral equations, Maleknejad et ...used two-dimensional block pulse functions and Legendre polynomials to solve those ... See full document

... 3 cos(s − t) x 2 (t)dt = y(s), (49) where, y(s) = 2 sin s cos s, with the initial condition x(0) = 1, and the exact solution x(s) = cos s, Table 4 shows the numerical results. Example 5. As the final ... See full document

... analytical functions defined on D and D × D × R , ...the solution for equation (1) are discussed in [12, ...the integral equation into a discretized ...successful numerical approach which is ... See full document

... Nonlinear two dimensional integral (NLTD) equations of the second kind have been exploited in several areas, including non homogeneous elasticity and electrostatics (Sankar ...the ... See full document

... the solution is considered as the summation of an infinite series, which usually converges rapidly to the exact ...solution. Using the homotopy technique from topology, a homotopy is ... See full document

... Fredholm integral equations of the second kind (FFIE-2) by researchers [7, 15, ...a numerical algorithm to solve FFIE-2 based on successive approximations ...investigated numerical procedures ... See full document

... we using of 2D Rational Haar wavelet method for solving 2D Fredholm integral ...RH functions are family on [0, 1] of only three values +1 , -1 and ...for nonlinear Fredholm integral ... See full document

... Abstract In this paper, we develop multi-step methods to solve a class of two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the first kind. Here, we convert a ... See full document

... Haar functions for the numerical solution of nonlinear two-dimensional Volterra and Fredholm integral equations ...of nonlinear ... See full document

... Integral equations appear in mathematical modeling of different disciplines such a biology, chemistry, physics, en- ...many numerical methods for ap- proximating the solution of Fredholm and ... See full document

... a block-pulse function, which is given for solving nonlinear fuzzy Fredholm integral equations of the second kind and the error estimate of the approximation ...Finally, two ... See full document

... the numerical technique based on two-dimensional block pulse functions (2D-BPFs) has been developed to approximate the solution of fractional Poisson type equations ... See full document

... basis functions method [4], Haar wavelets [5] and integral mean value method [6] ...ponding numerical stability analyses in the literatures [9] [10] ...one dimensional linear ... See full document

... Block-Pulse functions have been used by many researchers for various problems such as solving differential equations [12], integral equations [6], population balance ... See full document

... The numerical example is carried out for selected grid points which are proposed by difference as (2 − k , k = 4, 6, 8, ...approximate solution for various values of arbitary positive integer n are ... See full document

... approximate solution of the two-dimensional sin- gular nonlinear mixed Volterra-Fredholm integral equations (V-FIE), which is deduced by using new strategy ... See full document

... In contrast to the above papers [1, 3, 7–9], the differences of this paper are as follows. Firstly, we construct a preparation theorem to deal with the nonlinear analytic functions. Secondly, the error ... See full document

... Burgers’ equations is that shock of the solution may occur after some time, even if the initial functions are ...the solution occurs. A robust and accurate numerical algorithm should be ... See full document

... Abstract —In this paper, an efficient method for solving numerically stochastic Volterra integral equa- tion is proposed. Here, we consider triangular func- tions and their operational matrix of integration. ... See full document