Results 11 to 20 of about 1,506 (219)

α-Sumudu Transformation Homotopy Perturbation Technique on Fractional Gas Dynamical Equation

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2023
Transformation and many other substitution methods have been used to solve non-linear differential fractional equations. In this present work, the homotopy perturbation method to solve the non-linear differential fractional equation with the help of He’s
Ali Moazzam   +2 more
doaj   +1 more source

A Reliable Treatment for Nonlinear Differential Equations

open access: yesJournal of Mathematics, 2021
In this paper, we use the concept of homotopy, Laplace transform, and He’s polynomials, to propose the auxiliary Laplace homotopy parameter method (ALHPM).
H. R. Marasi   +3 more
doaj   +1 more source

A Semi-Analytical Approach for the Approximate Solution of Casting-Mould Heterogeneous System [PDF]

open access: yesComputational Algorithms and Numerical Dimensions, 2022
In this work, we study the Variational Iteration Method (VIM) accompanied by He's polynomials for obtaining the solution of the temperature distribution in the casting-mould heterogeneous system with fractional order.
Muhammad Nadeem
doaj   +1 more source

The Homotopy Perturbation Method to Solve Initial Value Problems of First Order with Discontinuities [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2022
In this work, the homotopy perturbation method (HPM) is used to solve initial valueproblems of first order with various types of discontinuities. The numerical results obtained (arecompared) using the traditional HPM, and the integral equation of the nth
Mohammed Ahmed, Waleed Al-Hayani
doaj   +1 more source

Solving Troesch's problem by using modified nonlinear shooting method [PDF]

open access: yes, 2016
In this research article, the non - linear shooting method is modified (MNLSM) and is considered to simulate Troesch’s sensitive problem (TSP) numerically. TSP is a 2nd order non - linear BVP with Dirichlet boundary conditions . In M NLSM
Ali, Akhtar   +3 more
core   +2 more sources

New treatment of fractional Fornberg–Whitham equation via Laplace transform

open access: yesAin Shams Engineering Journal, 2013
In this paper, a user friendly algorithm based on new homotopy perturbation transform method (HPTM) is proposed to solve nonlinear fractional Fornberg–Whitham equation in wave breaking.
Jagdev Singh   +2 more
doaj   +1 more source

The Fractional Series Solutions for the Conformable Time-Fractional Swift-Hohenberg Equation through the Conformable Shehu Daftardar-Jafari Approach with Comparative Analysis

open access: yesJournal of Mathematics, 2022
The major objective of this study is to derive fractional series solutions of the time-fractional Swift-Hohenberg equations (TFSHEs) in the sense of conformable derivative using the conformable Shehu transform (CST) and the Daftardar-Jafari approach (DJA)
Muhammad Imran Liaqat, Eric Okyere
doaj   +1 more source

Homotopy perturbation method for fractional black-scholes european option pricing equations using Sumudu transform [PDF]

open access: yes, 2013
The homotopy perturbation method, Sumudu transform, and He’s polynomials are combined to obtain the solution of fractional Black-Scholes equation. The fractional derivative is considered in Caputo sense.
Elbeleze, Asma Ali   +2 more
core   +3 more sources

The Ultralight project: the network as an integrated and managed resource for data-intensive science [PDF]

open access: yes, 2005
Looks at the UltraLight project which treats the network interconnecting globally distributed data sets as a dynamic, configurable, and closely monitored resource to construct a next-generation system that can meet the high-energy physics community's ...
Bunn, Julian   +12 more
core   +1 more source

The Variational Iteration Transform Method for Solving the Time-Fractional Fornberg–Whitham Equation and Comparison with Decomposition Transform Method

open access: yesMathematics, 2021
In this article, modified techniques, namely the variational iteration transform and Shehu decomposition method, are implemented to achieve an approximate analytical solution for the time-fractional Fornberg–Whitham equation. A comparison is made between
Nehad Ali Shah   +4 more
doaj   +1 more source

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