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[HTML][HTML] Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet
In the current study, new functions called generalized fractional-order Bernoulli wavelet
functions (GFBWFs) based on the Bernoulli wavelets are defined to obtain the numerical …
functions (GFBWFs) based on the Bernoulli wavelets are defined to obtain the numerical …
[HTML][HTML] On one approach to solve the linear boundary value problems for Fredholm integro-differential equations
DS Dzhumabaev - Journal of Computational and Applied Mathematics, 2016 - Elsevier
Necessary and sufficient conditions for the well-posedness of linear boundary value
problems for Fredholm integro-differential equations are established. Algorithms for finding …
problems for Fredholm integro-differential equations are established. Algorithms for finding …
A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals
This article develops an efficient direct solver for solving numerically the high-order linear
Fredholm integro-differential equations (FIDEs) with piecewise intervals under initial …
Fredholm integro-differential equations (FIDEs) with piecewise intervals under initial …
Optimal solution of nonlinear 2D variable-order fractional optimal control problems using generalized Bessel polynomials
This study aims to propose a new optimization method based on the generalized Bessel
polynomials (GBPs) as a class of basis functions for a category of nonlinear two-dimensional …
polynomials (GBPs) as a class of basis functions for a category of nonlinear two-dimensional …
Chelyshkov collocation method for a class of mixed functional integro-differential equations
C Oğuz, M Sezer - Applied Mathematics and Computation, 2015 - Elsevier
In this study, a numerical matrix method based on Chelyshkov polynomials is presented to
solve the linear functional integro-differential equations with variable coefficients under the …
solve the linear functional integro-differential equations with variable coefficients under the …
A collocation method based on Bernstein polynomials to solve nonlinear Fredholm–Volterra integro-differential equations
Ş Yüzbaşı - Applied Mathematics and Computation, 2016 - Elsevier
In this study, a collocation method that based on Bernstein polynomials is presented for
nonlinear Fredholm–Volterra integro-differential equations (NFVIDEs). By means of the …
nonlinear Fredholm–Volterra integro-differential equations (NFVIDEs). By means of the …
[SÁCH][B] Numerical solutions of three classes of nonlinear parabolic integro-differential equations
This book describes three classes of nonlinear partial integro-differential equations. These
models arise in electromagnetic diffusion processes and heat flow in materials with memory …
models arise in electromagnetic diffusion processes and heat flow in materials with memory …