K. Maleknejad
School of Mathematics, Iran University of Science & Technology, Narmak, Tehran 16846 13114, Iran.
[ 1 ] - Study on multi-order fractional differential equations via operational matrix of hybrid basis functions
In this paper we apply hybrid functions of general block-pulse functions and Legendre polynomials for solving linear and nonlinear multi-order fractional differential equations (FDEs). Our approach is based on incorporating operational matrices of FDEs with hybrid functions that reduces the FDEs problems to the solution of algebraic systems. Error estimate that verifies a converge...
[ 2 ] - Convergence, Consistency and Stability in Fuzzy Differential Equations
In this paper, we consider First-order fuzzy differential equations with initial value conditions. The convergence, consistency and stability of difference method for approximating the solution of fuzzy differential equations involving generalized H-differentiability, are studied. Then the local truncation error is defined and sufficient conditions for convergence, consistency and stability of ...
[ 3 ] - The Petrov-Galerkin Method and Chebyshev Multiwavelet Basis for Solving Integro-Differential Equations
Abstract: There are some methods for solving integro-differential equations. In this work, we solve the general-order Feredholm integro-differential equations. The Petrov-Galerkin method by considering Chebyshev multiwavelet basis is used. By using the orthonormality property of basis elements in discretizing the equation, we can reduce an equation to a linear system with small dimension. For ...
[ 4 ] - B-spline Method for Solving Fredholm Integral Equations of the First Kind
In this paper, we use the collocation method for to find an approximate solution of the problem by cubic B-spline basis. The proposed method as a basic function led matrix systems, including band matrices and smoothness and capability to handle low calculative costly. The absolute errors in the solution are compared to existing methods to verify the accuracy and convergent nature of propo...
[ 5 ] - استفاده از توابع پایهای قطعهای ثابت متعامد در طرح آستانه شمیر (shamir)
In Shamir threshold scheme one that is called dealer, chooses the key and then shares some partial information about it, called among the participants, secretly. In this paper, we use some numerical methods with piecewise constant basis functions in Shamir threshold scheme. We first introduce operational matrix of this functions and then show how dealer multiplies this matrix by vector of share...
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