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 …

A Bernoulli polynomial approach with residual correction for solving mixed linear Fredholm integro-differential-difference equations

K Erdem, S Yalçinbaş, M Sezer - Journal of Difference Equations …, 2013 - Taylor & Francis
In this study, an approximate method based on Bernoulli polynomials and collocation points
has been presented to obtain the solution of higher order linear Fredholm integro-differential …

Numerical solution of telegraph equation using Bernoulli collocation method

K Erdem Biçer, S Yalçinbaş - Proceedings of the National Academy of …, 2019 - Springer
Numerical Solution of Telegraph Equation Using Bernoulli Collocation Method | SpringerLink
Skip to main content Advertisement SpringerLink Account Menu Find a journal Publish with …

A matrix approach to solving hyperbolic partial differential equations using Bernoulli polynomials

KE Bicer, S Yalcinbas - Filomat, 2016 - JSTOR
The present study considers the solutions of hyperbolic partial differential equations. For
this, an approximate method based on Bernoulli polynomials is developed. This method …

[PDF][PDF] Bernoulli matrix-collocation method for solving general functional integro-differential equations with hybrid delays

KE Biçer, M Sezer - Journal of Inequalities and Special Functions, 2017 - ilirias.com
In this study, we apply a matrix method based on Bernoulli polynomials and collocation
points to solve functional integro-differential equations with hybrid delays. The main problem …

A computational method for solving differential equations with quadratic nonlinearity by using Bernoulli polynomials

KE Bicer, M Sezer - Thermal Science, 2019 - doiserbia.nb.rs
In this paper, a matrix method is developed to solve quadratic non-linear differential
equations. It is assumed that the approximate solutions of main problem which we handle …

[PDF][PDF] Taylor collocation method for solving a class of the first order nonlinear differential equations

D Taştekin, S Yalçınbaş, M Sezer - Mathematical and Computational …, 2013 - academia.edu
Dilek Taştekin, Salih Yalçınbaş and Mehmet Sezer Department of Mathematics, Celal Bayar
University, 45140, Muradiye, Manisa, Turkey dilektastekin@ gmail. com, salih. yalcinbas …

[PDF][PDF] On solutions of linear functional integral and integro-differential equations via Lagrange polynomials

Ş Yüzbaşi, M Sezer - Journal of Science and Arts, 2021 - josa.ro
In this study, a matrix-collocation method is developed numerically to solve the linear
Fredholm-Volterra-type functional integral and integro-differential equations. The linear …

Numerical Solutions of System of First Order Normalized Linear Differential Equations by Using Bernoulli Matrix Method

KE Biçer, M Sezer, M Kazaz - Celal Bayar University Journal of …, 2021 - dergipark.org.tr
Systems of first order differential equations have been arisen in science and engineering.
Specially, the systems of normalized linear differential equations appear in differential …

[PDF][PDF] Lucas Collocation Method for the Solution of Differential Difference Equations

D Elmaci, NB Savasaneril - New Trends in Mathematical Sciences, 2022 - researchgate.net
In order to solve mth-order linear differential difference equations with variable coefficients
under mixed conditions, this research suggests a combined operational matrix approach …