Results 1 to 10 of about 145 (75)

An Innovative Approach to Nonlinear Fractional Shock Wave Equations Using Two Numerical Methods

Mathematics, 2023
In this research, we propose a combined approach to solving nonlinear fractional shock wave equations using an Elzaki transform, the homotopy perturbation method, and the Adomian decomposition method. The nonlinear fractional shock wave equation is first
Meshari Alesemi
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Using analytical methods for finding the approximate solutions to fractional differential equations

International Journal of Thermofluids, 2023
This essay focuses on studying the nonlinear fractional integral equation. Various methods, including Akbari-Ganji's Method (AGM), Homotopy Perturbation Method (HPM), and Vibrational Iteration Method (VIM), are utilized to obtain its solution.
Reza Iranmanesh, Seyedeh Fatemeh Shahabi Takami, Zarindokht Helforoush, Nabaa Muhammad Diaa, Yaghub Safari, Pooya Pasha, As'ad Alizadeh, Hussein Zekri   +7 more
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Sixth-Kind Chebyshev and Bernoulli Polynomial Numerical Methods for Solving Nonlinear Mixed Partial Integrodifferential Equations with Continuous Kernels

Journal of Function Spaces, 2023
In the present paper, a new efficient technique is described for solving nonlinear mixed partial integrodifferential equations with continuous kernels.
Abeer M. Al-Bugami, Mohamed A. Abdou, Amr M. S. Mahdy   +2 more
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Free Vibration Analysis of Nonlinear Structural-Acoustic System with Non-Rigid Boundaries Using the Elliptic Integral Approach

Mathematics, 2020
This study addresses the free vibration analysis of nonlinear structural-acoustic system with non-rigid boundaries. In practice, the boundaries of a panel–cavity system are usually imperfectly rigid.
Yiu-yin Lee
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Legendre-Gauss-Lobatto collocation method for solving multi-dimensional systems of mixed Volterra-Fredholm integral equations

AIMS Mathematics, 2023
Integral equations play a crucial role in many scientific and engineering problems, though solving them is often challenging. This paper addresses the solution of multi-dimensional systems of mixed Volterra-Fredholm integral equations (SMVF-IEs) by means
A. Z. Amin, M. A. Abdelkawy, Amr Kamel Amin , António M. Lopes , Abdulrahim A. Alluhaybi , I. Hashim   +5 more
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New coincidence point results for generalized graph-preserving multivalued mappings with applications

Advances in Difference Equations, 2021
This research aims to investigate a novel coincidence point (cp) of generalized multivalued contraction (gmc) mapping involved a directed graph in b-metric spaces (b-ms).
Hasanen A. Hammad, Manuel De la Sen, Praveen Agarwal   +2 more
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Solving Newell-Whitehead-Segel Equation By using Elzaki Transform and its inverse with The Homotopy Perturbation Method [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
This research is a ‌combination of the homotopy ‌perturbation method with ‌Elzaki transform method ‌and Elzaki inverse to ‌solve some nonlinear ‌partial differential ‌equations.
Mohammed Alsofey, Abdulghafor Al-Rozbayani   +1 more
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Three new approaches for solving a class of strongly nonlinear two-point boundary value problems

Boundary Value Problems, 2021
Three new and applicable approaches based on quasi-linearization technique, wavelet-homotopy analysis method, spectral methods, and converting two-point boundary value problem to Fredholm–Urysohn integral equation are proposed for solving a special case ...
Monireh Nosrati Sahlan, Hojjat Afshari
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A new study on the existence and stability to a system of coupled higher-order nonlinear BVP of hybrid FDEs under the p-Laplacian operator

AIMS Mathematics, 2022
In this paper, we study a general system of fractional hybrid differential equations with a nonlinear $ \phi_p $-operator, and prove the existence of solution, uniqueness of solution and Hyers-Ulam stability.
Abdulwasea Alkhazzan, Wadhah Al-Sadi, Varaporn Wattanakejorn , Hasib Khan, Thanin Sitthiwirattham, Sina Etemad, Shahram Rezapour   +6 more
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Numerical Study of Two-Dimensional Volterra Integral Equations by RDTM and Comparison with DTM

Abstract and Applied Analysis, 2013
The two-dimensional Volterra integral equations are solved using more recent semianalytic method, the reduced differential transform method (the so-called RDTM), and compared with the differential transform method (DTM).
Reza Abazari, Adem Kılıçman
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