Exact and Approximate Solutions for Linear and Nonlinear Partial Differential Equations via Laplace Residual Power Series Method
The Laplace residual power series method was introduced as an effective technique for finding exact and approximate series solutions to various kinds of differential equations. In this context, we utilize the Laplace residual power series method to generate analytic solutions to various kinds of par...
| Published in: | Axioms |
|---|---|
| Main Authors: | Haneen Khresat, Ahmad El-Ajou, Shrideh Al-Omari, Sharifah E. Alhazmi, Moa’ath N. Oqielat |
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-07-01
|
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/12/7/694 |
Similar Items
Laplace-Residual Power Series Method for Solving Time-Fractional Reaction–Diffusion Model
by: Moa’ath N. Oqielat, et al.
Published: (2023-04-01)
by: Moa’ath N. Oqielat, et al.
Published: (2023-04-01)
On the Laplace Residual Series Method and Its Application to Time-Fractional Fisher’s Equations
by: Rawya Al-deiakeh, et al.
Published: (2025-04-01)
by: Rawya Al-deiakeh, et al.
Published: (2025-04-01)
A modern analytic method to solve singular and non-singular linear and non-linear differential equations
by: Ahmad El-Ajou, et al.
Published: (2023-04-01)
by: Ahmad El-Ajou, et al.
Published: (2023-04-01)
Application of Laplace residual power series method for approximate solutions of fractional IVP’s
by: Mohammad Alaroud
Published: (2022-02-01)
by: Mohammad Alaroud
Published: (2022-02-01)
Combination of Laplace transform and residual power series techniques of special fractional-order non-linear partial differential equations
by: M. Mossa Al-Sawalha, et al.
Published: (2023-01-01)
by: M. Mossa Al-Sawalha, et al.
Published: (2023-01-01)
Fractional analysis of non-linear fuzzy partial differential equations by using a direct procedure
by: Muhammad Arshad, et al.
Published: (2024-04-01)
by: Muhammad Arshad, et al.
Published: (2024-04-01)
Efficient Solution of Fractional System Partial Differential Equations Using Laplace Residual Power Series Method
by: Ahmad Shafee, et al.
Published: (2023-05-01)
by: Ahmad Shafee, et al.
Published: (2023-05-01)
Numerical solution of two-dimensional fractional differential equations using Laplace transform with residual power series method
by: Pant Rajendra, et al.
Published: (2024-03-01)
by: Pant Rajendra, et al.
Published: (2024-03-01)
A new approach in handling one-dimensional time-fractional Schrödinger equations
by: Ahmad El-Ajou, et al.
Published: (2024-03-01)
by: Ahmad El-Ajou, et al.
Published: (2024-03-01)
A Reliable Technique for Solving Fractional Partial Differential Equation
by: Azzh Saad Alshehry, et al.
Published: (2022-10-01)
by: Azzh Saad Alshehry, et al.
Published: (2022-10-01)
A comparative analysis using the Laplace transform approach for some nonlinear fractional physical problems
by: Mohammad Alaroud
Published: (2025-09-01)
by: Mohammad Alaroud
Published: (2025-09-01)
The fractional analysis of thermo-elasticity coupled systems with non-linear and singular nature
by: Abdur Rab, et al.
Published: (2024-04-01)
by: Abdur Rab, et al.
Published: (2024-04-01)
Analytic technique for solving temporal time-fractional gas dynamics equations with Caputo fractional derivative
by: Mohammad Alaroud, et al.
Published: (2022-08-01)
by: Mohammad Alaroud, et al.
Published: (2022-08-01)
A new analytical algorithm for uncertain fractional differential equations in the fuzzy conformable sense
by: Tareq Eriqat, et al.
Published: (2024-03-01)
by: Tareq Eriqat, et al.
Published: (2024-03-01)
Constructing Analytical Solutions of the Fractional Riccati Differential Equations Using Laplace Residual Power Series Method
by: Aliaa Burqan, et al.
Published: (2022-12-01)
by: Aliaa Burqan, et al.
Published: (2022-12-01)
On Solving Modified Time Caputo Fractional Kawahara Equations in the Framework of Hilbert Algebras Using the Laplace Residual Power Series Method
by: Faten H. Damag, et al.
Published: (2025-05-01)
by: Faten H. Damag, et al.
Published: (2025-05-01)
Using Laplace Residual Power Series Method in Solving Coupled Fractional Neutron Diffusion Equations with Delayed Neutrons System
by: Mohammed Shqair, et al.
Published: (2023-02-01)
by: Mohammed Shqair, et al.
Published: (2023-02-01)
Employing the Laplace Residual Power Series Method to Solve (1+1)- and (2+1)-Dimensional Time-Fractional Nonlinear Differential Equations
by: Adel R. Hadhoud, et al.
Published: (2024-07-01)
by: Adel R. Hadhoud, et al.
Published: (2024-07-01)
Optimized technique and dynamical behaviors of fractional Lax and Caudrey–Dodd–Gibbon models modelized by the Caputo fractional derivative
by: Tareq Eriqat, et al.
Published: (2024-06-01)
by: Tareq Eriqat, et al.
Published: (2024-06-01)
Effective transform-expansions algorithm for solving non-linear fractional multi-pantograph system
by: Ahmad Qazza, et al.
Published: (2023-06-01)
by: Ahmad Qazza, et al.
Published: (2023-06-01)
A comparative study on residual power series method and differential transform method through the time-fractional telegraph equation
by: Devshali Pratiksha, et al.
Published: (2025-04-01)
by: Devshali Pratiksha, et al.
Published: (2025-04-01)
An approximate analytical solution of the time-fractional Navier–Stokes equations by the generalized Laplace residual power series method
by: P. Dunnimit, et al.
Published: (2024-03-01)
by: P. Dunnimit, et al.
Published: (2024-03-01)
Approximate Analytical Solutions of Time Fractional Whitham–Broer–Kaup Equations by a Residual Power Series Method
by: Linjun Wang, et al.
Published: (2015-09-01)
by: Linjun Wang, et al.
Published: (2015-09-01)
Adapting Laplace residual power series approach to the Caudrey Dodd Gibbon equation
by: Samy A. Abdelhafeez, et al.
Published: (2024-04-01)
by: Samy A. Abdelhafeez, et al.
Published: (2024-04-01)
Explicit and approximate series solutions for nonlinear fractional wave-like differential equations with variable coefficients
by: Mohammad Alaroud, et al.
Published: (2024-06-01)
by: Mohammad Alaroud, et al.
Published: (2024-06-01)
Closed-form solutions of higher order parabolic equations in multiple dimensions: A reliable computational algorithm
by: Mubashir Qayyum, et al.
Published: (2023-05-01)
by: Mubashir Qayyum, et al.
Published: (2023-05-01)
Extracting explicit coefficient formulas: A robust approach to the laplace residual power series method
by: Pisamai Kittipoom
Published: (2024-12-01)
by: Pisamai Kittipoom
Published: (2024-12-01)
Analytical Solutions of the Nonlinear Time-Fractional Coupled Boussinesq-Burger Equations Using Laplace Residual Power Series Technique
by: Aref Sarhan, et al.
Published: (2022-10-01)
by: Aref Sarhan, et al.
Published: (2022-10-01)
A Novel Solution Approach for Time-Fractional Hyperbolic Telegraph Differential Equation with Caputo Time Differentiation
by: Mohammad Alaroud, et al.
Published: (2023-05-01)
by: Mohammad Alaroud, et al.
Published: (2023-05-01)
Approximate Solution of Nonlinear Time-Fractional PDEs by Laplace Residual Power Series Method
by: Hussam Aljarrah, et al.
Published: (2022-06-01)
by: Hussam Aljarrah, et al.
Published: (2022-06-01)
Approximate Analytical Solutions for Strongly Coupled Systems of Singularly Perturbed Convection–Diffusion Problems
by: Essam R. El-Zahar, et al.
Published: (2024-01-01)
by: Essam R. El-Zahar, et al.
Published: (2024-01-01)
Analytical Solution of Coupled Hirota–Satsuma and KdV Equations
by: Rania Saadeh, et al.
Published: (2022-11-01)
by: Rania Saadeh, et al.
Published: (2022-11-01)
Certain Analytic Solutions for Time-Fractional Models Arising in Plasma Physics via a New Approach Using the Natural Transform and the Residual Power Series Methods
by: Asad Freihat, et al.
Published: (2025-02-01)
by: Asad Freihat, et al.
Published: (2025-02-01)
New solutions of fractional 4D chaotic financial model with optimal control via He-Laplace algorithm
by: Mubashir Qayyum, et al.
Published: (2024-03-01)
by: Mubashir Qayyum, et al.
Published: (2024-03-01)
Comparative analysis of the fractional order Cahn-Allen equation
by: Ibrar Khan, et al.
Published: (2023-12-01)
by: Ibrar Khan, et al.
Published: (2023-12-01)
Effective Approach to Construct Series Solutions for Uncertain Fractional Differential Equations
by: Zeyad Al-Zhour, et al.
Published: (2022-04-01)
by: Zeyad Al-Zhour, et al.
Published: (2022-04-01)
A New Approach Using Integral Transform to Solve Cancer Models
by: Rania Saadeh, et al.
Published: (2022-08-01)
by: Rania Saadeh, et al.
Published: (2022-08-01)
Kesirli Klein-Gordon denklemi için residual power seri metodu
by: Zeliha Körpınar
Published: (2017-06-01)
by: Zeliha Körpınar
Published: (2017-06-01)
Series Representations for Uncertain Fractional IVPs in the Fuzzy Conformable Fractional Sense
by: Malik Bataineh, et al.
Published: (2021-12-01)
by: Malik Bataineh, et al.
Published: (2021-12-01)
A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method
by: Muhammed I. Syam
Published: (2017-12-01)
by: Muhammed I. Syam
Published: (2017-12-01)
Similar Items
-
Laplace-Residual Power Series Method for Solving Time-Fractional Reaction–Diffusion Model
by: Moa’ath N. Oqielat, et al.
Published: (2023-04-01) -
On the Laplace Residual Series Method and Its Application to Time-Fractional Fisher’s Equations
by: Rawya Al-deiakeh, et al.
Published: (2025-04-01) -
A modern analytic method to solve singular and non-singular linear and non-linear differential equations
by: Ahmad El-Ajou, et al.
Published: (2023-04-01) -
Application of Laplace residual power series method for approximate solutions of fractional IVP’s
by: Mohammad Alaroud
Published: (2022-02-01) -
Combination of Laplace transform and residual power series techniques of special fractional-order non-linear partial differential equations
by: M. Mossa Al-Sawalha, et al.
Published: (2023-01-01)
