Fibonacci wavelets and their applications for solving two classes of time‐varying delay problems

S Sabermahani, Y Ordokhani… - … Control Applications and …, 2020 - Wiley Online Library
In this paper, a numerical method for solving time‐varying delay equations and optimal
control problems with time‐varying delay systems is discussed. This method is based upon …

New exact solutions for generalized (3+ 1) shallow water-like (SWL) equation

F Dusunceli - Applied Mathematics and Nonlinear Sciences, 2019 - sciendo.com
In this study, we use the improved Bernoulli sub-equation function method for exact
solutions to the generalized (3+ 1) shallow water-like (SWL) equation. Some new solutions …

Investigation of some nonlinear physical models: exact and approximate solutions

SS Atas, HF Ismael, TA Sulaiman, H Bulut - Optical and Quantum …, 2023 - Springer
We use the m+ 1 G′-expansion method in reaching the exact solution of the (3+ 1)-
dimensional B-type Kadomtsev-Petviashvili-Boussinesq, Newel-Whitehead-Segel, and …

Fibonacci wavelets-based numerical method for solving fractional order (1+ 1)-dimensional dispersive partial differential equation

S Kumbinarasaiah, M Mulimani - International Journal of Dynamics and …, 2023 - Springer
In this study, third-order fractional (1+ 1)-dimensional dispersive partial differential equations
are numerically solved using the generalized fractional-order Fibonacci wavelet functions …

New complex and hyperbolic forms for Ablowitz–Kaup–Newell–Segur wave equation with fourth order

Eİ Eskitaşçıoğlu, MB Aktaş… - Applied Mathematics and …, 2019 - sciendo.com
Researching different solutions of nonlinear models has been interesting in different fields of
science and application. In this study, we investigated different solutions of fourth-order …

Bright, dark optical and other solitons to the generalized higher-order NLSE in optical fibers

HM Baskonus, TA Sulaiman, H Bulut - Optical and Quantum Electronics, 2018 - Springer
In this paper, we study the generalized higher-order nonlinear Schrödinger equation
analytically. We use two integral schemes for conducting this study. Dark, bright, combined …

The numerical study of a hybrid method for solving telegraph equation

D Arslan - Applied Mathematics and Nonlinear Sciences, 2020 - sciendo.com
In this study, a robust hybrid method is used as an alternative method, which is a different
method from other methods for the approximate of the telegraph equation. The hybrid …

Regarding some novel exponential travelling wave solutions to the Wu–Zhang system arising in nonlinear water wave model

G Yel, HM Baskonus, H Bulut - Indian Journal of Physics, 2019 - Springer
In this paper, our main aim is to find the new travelling wave solutions to the Wu–Zhang
system which describes dispersive long waves. Some new and important travelling wave …

Numerical solution for high‐order linear complex differential equations with variable coefficients

F Düşünceli, E Çelik - Numerical Methods for Partial Differential …, 2018 - Wiley Online Library
In this paper, we have obtained the numerical solutions of complex differential equations
with variable coefficients by using the Legendre Polynomials and we have performed it on …

[PDF][PDF] Numerical solution for high-order linear complex differential equations by hermite polynomials

F DÜŞÜNCELİ, E ÇELİK - Igdır University Journal of the Institute of …, 2017 - academia.edu
In this paper, the numerical solutions of complex differential equations are provided by the
Hermite Polynomials and carried on two problems. As a result, the exact solutions and …