Staff Detail

Prof. Dr. SUZAN CİVAL BURANAY

Duty: Faculty Member
Department: Mathematics
Office: AS254
Tel: +90 392 630 2410
E-Mail: suzan.buranay@emu.edu.tr

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Education

2007

PHD

UNIVERSITY, MATEMATİK, EASTERN MEDITERRANEAN UNIVERSITY

1995

MS

UNIVERSITY, UYGULAMALI MAT. VE BİL. BİLİMLERİ, EASTERN MEDITERRANEAN UNIVERSITY

1993

BS

UNIVERSITY, UYGULAMALI MAT. VE BİL. BİLİMLERİ, EASTERN MEDITERRANEAN UNIVERSITY

Publications

SCI- Expanded

On the Existence, Uniqueness and a Numerical Approach to the Solution of Fractional Cauchy-Euler Equation
Nazim I. Mahmudov;Suzan C. Buranay;Mtema James Chin
AXIOMS, (2024)
A highly accurate numerical method for solving boundary value problem of generalized Bagley-Torvik equation
Suzan Cival Buranay;Mtema James Chin;Nazim I. Mahmudov
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, (2024)
The Peano-Sard theorem for Caputo fractional derivatives and applications
Arran Fernandez;Suzan Cival Buranay
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, (2024)
On the analysis of fractional calculus operators with bivariate Mittag Leffler function in the kernel
Ilkay Onbasi Elidemir;Mehmet Ali Ozarslan;Suzan Cival Buranay
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, (2024)
Bivariate modified Bernstein-Kantorovich operators for the numerical solution of two-dimensional fractional Volterra integral equations
Buranay, Suzan Cival
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, (2024)
Hybrid Operators for Approximating Nonsmooth Functions and Applications on Volterra Integral Equations with Weakly Singular Kernels
Buranay, S. C.;Ozarslan, M. A.;Falahhesar, S. S.
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, (2023)
Hexagonal Grid Computation of the Derivatives of the Solution to the Heat Equation by Using Fourth-Order Accurate Two-Stage Implicit Methods
Buranay, Suzan Cival;Arshad, Nouman;Matan, Ahmed Hersi
FRACTAL AND FRACTIONAL, (2021)
Numerical Solution of the Fredholm and Volterra Integral Equations by Using Modified Bernstein-Kantorovich Operators
Buranay, Suzan Cival;Ozarslan, Mehmet Ali;Falahhesar, Sara Safarzadeh
MATHEMATICS, (2021)
Incomplete block-matrix factorization ofM-matrices using two-step iterative method for matrix inversion and preconditioning
Buranay, S. C.;Iyikal, O. C.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, (2021)
Two Stage Implicit Method on Hexagonal Grids for Approximating the First Derivatives of the Solution to the Heat Equation
Buranay, Suzan Cival;Matan, Ahmed Hersi;Arshad, Nouman
FRACTAL AND FRACTIONAL, (2021)
Hexagonal grid approximation of the solution of the heat equation on special polygons
Buranay, Suzan C.;Arshad, Nouman
ADVANCES IN DIFFERENCE EQUATIONS, (2020)
Approximate Schur-Block ILU Preconditioners for Regularized Solution of Discrete Ill-Posed Problems
Buranay, Suzan C.;Iyikal, Ovgu C.
MATHEMATICAL PROBLEMS IN ENGINEERING, (2019)
A predictor-corrector iterative method for solving linear least squares problems and perturbation error analysis
Buranay, Suzan C.;Iyikal, Ovgu C.
JOURNAL OF INEQUALITIES AND APPLICATIONS, (2019)
Implicit methods for the first derivative of the solution to heat equation
Buranay, Suzan C.;Farinola, Lawrence A.
ADVANCES IN DIFFERENCE EQUATIONS, (2018)
On the two classes of high-order convergent methods of approximate inverse preconditioners for solving linear systems
Buranay, Suzan C.;Subasi, Dervis;Iyikal, Ovgu C.
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, (2017)
One-block method for computing the generalized stress intensity factors for Laplace's equation on a square with a slit and on an L-shaped domain
Dosiyev, A. A.;Buranay, S. C.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, (2015)
On the solution of a nonlocal problem
Volkov, E. A.;Dosiyev, A. A.;Buranay, S. C.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, (2013)
The highly accurate block-grid method in solving Laplace's equation for nonanalytic boundary condition with corner singularity
Dosiyev, A. A.;Buranay, S. C.;Subasi, D.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, (2012)
Block method for problems on L-shaped domains
Dosiyev, A. A.;Mazhar, Z.;Buranay, S. C.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, (2010)
The Block-Grid Method for Solving Laplace's Equation on Polygons with Nonanalytic Boundary Conditions
Dosiyev, A. A.;Buranay, S. Cival;Subasi, D.
BOUNDARY VALUE PROBLEMS, (2010)
ON THE ORDER OF MAXIMUM ERROR OF THE FINITE DIFFERENCE SOLUTIONS TO LAPLACE'S EQUATION ON RECTANGLES (vol 50, pg 59, 2008)
Dosiyev, A. A.;Buranay, S. Cival
ANZIAM JOURNAL, (2009)
On solving the cracked-beam problem by block method
Dosiyev, A. A.;Buranay, S. Cival
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, (2008)
ON THE ORDER OF MAXIMUM ERROR OF THE FINITE DIFFERENCE SOLUTIONS OF LAPLACE'S EQUATION ON RECTANGLES
Dosiyev, A. A.;Buranay, S. Cival
ANZIAM JOURNAL, (2008)

International Indexes

A Fourth-Order Block-Grid Method for Solving Laplace's Equation on a Staircase Polygon with Boundary Functions in Ck,lambda
Dosiyev, A. A.;Buranay, S. Cival
ABSTRACT AND APPLIED ANALYSIS, (2013)
Analysis of the Block-Grid Method for the Solution of Laplace's Equation on Polygons with a Slit
Buranay, S. Cival
ABSTRACT AND APPLIED ANALYSIS, (2013)
A combined method for solving Laplace’s boundary value problem with singularities
Dosiyev A.A.;Buranay S.C
International Journal of Pure and Applied Mathhematics, (2005)

Other Indexes

Solution of heat equation by a novel implicit scheme using block hybrid preconditioning of the conjugate gradient method
Buranay, S. C.;Arshad, N.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, (2023)

Conferences

A collocation-shooting method for solving fractional boundary value problems for generalized Bagley Torvik equation
Bivariate Modified Bernstein-Kantorovich Operators for the Numerical Solution of Two-Dimensional Fractional Volterra Integral Equation
Hybrid Operators for Solving the Weakly Singular Volterra Integral Equations: Numerical Analysis
Highly Accurate Implicit Schemes for the Numerical Computation of Derivatives of the Solution to Heat Equation
Hybrid Operators for Solving the Weakly Singular Volterra Integral Equations: Theoretical Analysis
Implicit method of high accuracy on hexagonal grids for approximating the solution to heat equation on rectangle
Implicit Method of High Accuracy on Hexagonal Grids for Approximating the Solution to Heat Equation on a Domain with Smooth Boundary
Implicit method of second order accuracy on hexagonal grids for approximating the first derivatives of the solution to heat equation on a rectangle
Incomplete Block-Matrix Factorization of M-Matrices Using Two Step Iterative Method for Matrix Inversion and Preconditioning
Effective Error Estimate for the Hexagonal Grid Solution of Laplace's Equation on a Rectangle
On the truncation error in the solution of Dirichlet problem for Laplace's equation in plane by finite differences using hexagonal grid
Six Point Implicit Methods for the Pure Second Derivatives of the Solution of First type Boundary Value Problem for One Dimensional Heat Equation
High Order Iterative Methods for Matrix Inversion and Regularized Solution of Fredholm Integral Equation of First Kind with Noisy Data
Four Point Implicit Methods for the Second Derivatives of the Solution of First Type Boundary Value Problem for One Dimensional Heat Equation
One-block method for computing the generalized stress ointensity factors for Laplace`s equation on a square with a slit and on L-shaped domain
A high accurate difference-analytical method for solving Laplace’s equation on polygons with nonanalytic boundary conditions
Block Method for problems on L-Shaped domains
On solving the cracked beam problem by a block method

Supervised Thesis

PHD

SARA SAFARZADEH FALAHHESAR (2022). Numerical Solution of Volterra Integral Equations by using Some Positive Operators.[PhD Thesis ,Eastern Mediterranian University].
AHMED HERSI MOHAMED MATAN (2022). Highly Accurate Implicit Schemes using Hexagonal Grids for the Approximation of the Derivatives of the Solution of Two Dimensional Heat Equation.[PhD Thesis ,Eastern Mediterranian University].
NOUMAN ARSHAD (2020). Hexagonal Grid for Approximation of the Solution of Two Dimensional Heat Equation.[PhD Thesis ,Eastern Mediterranian University].
LAWRENCE ADEDAYO FARINOLA (2019). Grid Approximation of the Solution of Heat Conduction Equation.[PhD Thesis ,Eastern Mediterranian University].
MTEMA JAMES CHIN (Ongoing). A shifted Jacobi collocation method for solving nonlinear fractional Langevin equations.[PhD Thesis ,Eastern Mediterranian University].
ESRA TERCAN (Ongoing). [PhD Thesis ,Eastern Mediterranian University].

MS

BEWAR SULAIMAN ABDI HAJAN (2016). Accelerated Overrelaxation Method for the Solution of Discrete Laplace’s equation on a Rectangle.[Master Thesis ,Eastern Mediterranian University].
DAMILOLA VICTORIA ADEKANMBI (2016). On A Comparative Study of Direct Solution Methods of the Discrete Poisson’s Equation on A Rectangle.[Master Thesis ,Eastern Mediterranian University].
SORAN JALAL ABDALLA (2014). Approximate Methods of Inverse Preconditioners for Solving the Linear Algebraic Systems.[Master Thesis ,Eastern Mediterranian University].
MEHMET GÜVEN (Ongoing). Collocation Methods for Volterra Integro-Differential Equations.[Master Thesis ,Eastern Mediterranian University].

Books

S.C.Buranay;L.A.Farinola(2021). Six Point Implicit Methods for the Approximation of the Derivatives of the Solution of First Type Boundary Value Problem for Heat Equation. Allaberen Ashyralyev, Tynysbek Sh. Kalmenov, Michael V. Ruzhansky, Makhmud A. Sadybekov, Durvudkhan Suragan(Ed.),Functional Analysis in Interdisciplinary Applications-II(pp.39-62).Springer Nature, 351
A.A. Dosiyev;S.C. Buranay(2007). A fourth order accurate difference-analytical method for solving Laplace';s boundary value problem with singularities. K.Tas, J.A.T. Machado, D. Baleanu(Ed.),Mathematical Methods in Engineering(pp.167-176).Springer

Projects

Collocation method for the Solutions of Fractional Boundary Value Problems of Generalized Bagley-Torvik Equation ,[EMU ,BABC-04-23-01 (01.05.2023-01.07.2024) ]
Analitik Olmayan Sınır Koşullu Laplace Denkleminin Tekilliği Bulunan Çözümleri için Blok-Izgara (Block-Grid) Yöntemi ,[ (01.01.2010-01.01.2011) ]

EMU Websites