Laplace transform collocation method for telegraph equations defined by Caputo derivative

M Modanlı, ME Koksal - Mathematical Modelling and Numerical …, 2022 - dergipark.org.tr
The purpose of this paper is to find approximate solutions to the fractional telegraph
differential equation (FTDE) using Laplace transform collocation method (LTCM). The …

A numerical approach to solve hyperbolic telegraph equations via Pell–Lucas polynomials

Ş Yüzbaşı, G Yıldırım - Journal of Taibah University for Science, 2023 - Taylor & Francis
In this article, a collocation approximation is investigated for approximate solutions of
hyperbolic telegraph partial differential equations (HTPDEs). The method is based on evenly …

On computational analysis via fibonacci wavelet method for investigating some physical problems

S Ahmed, S Jahan, K Shah, T Abdeljawad - Journal of Applied …, 2024 - Springer
In this work, we considered wavelet analysis and the application of the Fibonacci wavelet
collocation method (FWCM) for solving partial differential equations (PDEs). The proposed …

A piecewise analysis model for electrical conductivity calculation from time domain reflectometry waveforms

Z Wang, D Timlin, Y Kojima, C Luo, Y Chen, S Li… - … and Electronics in …, 2021 - Elsevier
Electrical conductivity (EC) represents a material's ability to conduct electric current. Soil EC
has been used as a soil quality attribute related to soil pH, nutrient availability, crop …

The possible solutions for the two KdV-type equations using a semi-analytical Kamal-iteration method

AJ Mohammed, ST Al-Ramadhani… - European Journal of Pure …, 2022 - ejpam.com
In this paper, we used a semi-analytical method that combines the Kamal transform and a
modified iteration method to solve the nonlinear homogeneous and nonhomogeneous …

Laplace transform collocation and Daftar-Gejii-Jafaris method for fractional order time varying linear dynamical systems

M Modanli - Physica Scripta, 2021 - iopscience.iop.org
In this article, the fractional order time-varying linear dynamical system defined by Caputo
derivative is investigated. Laplace transform collocation method (LTCM) and Daftar-Gejii …

[PDF][PDF] Computational Techniques for Accurate Solutions of Astrophysical Problems Using Transform-Based Collocation

AO Adewumi, SO Akindeinde, RS Lebelo - International Journal of …, 2024 - wseas.com
This study applies three advanced techniques based on transforms to find approximate
solutions to the Lane-Emden type equation, which is often encountered in mathematical …

[PDF][PDF] Haar Wavelet Collocation Method for Telegraph Equations with Different Boundary Conditions

S Ahmed, S Jahan, KS Nisar - Jordan Journal of Mathematics …, 2024 - journals.yu.edu.jo
In this article, we study the Haar wavelet operational matrix approach for finding the
numerical solutions of hyperbolic telegraph equations under suitable initial and boundary …

On the solutions of the q-analogue of the telegraph differential equation

D Karahan - Communications Faculty of Sciences University of …, 2022 - dergipark.org.tr
In this work, q-analogue of the telegraph differential equation is investigated. The
approximation solution of q-analogue of the telegraph differential equation is founded by …

ÜÇÜNCÜ MERTEBEDEN KESİRLİ KISMİ DİFERANSİYEL DENKLEMLERİN TAM VE YAKLAŞIK ÇÖZÜMLERİ

C Bakir - 2020 - acikerisim.harran.edu.tr
Bu çalıĢmada baĢlangıçta Kesirli Capotu Türevli denklemler için temel tanımlar ve
kavramlar verildi. Bu denklemlerin baĢlangıç-sınır değer koĢullarına bağlı tam çözümlerini …