Efficient Numerical Solution of the Sharma-Tasso-Olver Equation Using Radial Basis Function-Pseudo Spectral Method with Comparative Analysis

In this study, we will solve the Sharma-Tasso-Olver equation by utilizing the radial basis function-pseudo spectral approach. Pseudo spectral techniques are renowned for their exceptional precision but have constraints regarding their ability to handle geometric variations. The integration of Radia...

Full description

Bibliographic Details
Published in:	Wasit Journal for Pure Sciences
Main Author:	Luqman Zebari
Format:	Article
Language:	English
Published:	College of Education for Pure Sciences 2024-06-01
Subjects:	Keywords: Sharma-Tasso-Olver equation, Radial basis functions pseudo spectral method, Runge-Kutta fourth order method
Online Access:	https://wjps.uowasit.edu.iq/index.php/wjps/article/view/335

Similar Items

Variable coefficient exact solution of Sharma–Tasso–Olver model by enhanced modified simple equation method
by: Md. Abu Naim Sheikh, et al.
Published: (2023-06-01)

Multi-soliton fusion phenomenon of Burgers equation and fission, fusion phenomenon of Sharma–Tasso–Olver equation
by: Harun Or-Roshid, et al.
Published: (2017-06-01)

Novel exact traveling wave solutions of the space-time fractional Sharma Tasso-Olver equation via three reliable methods
by: Khush Bukht Mehdi, et al.
Published: (2024-09-01)

Assorted soliton solutions to the nonlinear dispersive wave models in inhomogeneous media
by: M. Ali Akbar, et al.
Published: (2022-08-01)

Extension of natural transform method with Daftardar-Jafari polynomials for fractional order differential equations
by: Rashid Nawaz, et al.
Published: (2021-06-01)

New investigation on soliton solutions of two nonlinear PDEs in mathematical physics with a dynamical property: Bifurcation analysis
by: Hossain Md Dulal, et al.
Published: (2025-05-01)

Quasi Interpolation of radial basis functions-pseudospectral method for solving nonlinear Klein–Gordon and sine-Gordon equations
by: M. Emamjomeh, et al.
Published: (2020-04-01)

A New Numerical Method for Time Fractional Non-linear Sharma-Tasso-Oliver Equation and Klein-Gordon Equation With Exponential Kernel Law
by: Sachin Kumar, et al.
Published: (2020-05-01)

Symmetric Olver beams
by: Yidan Sun, et al.
Published: (2023-04-01)

Novel solution behaviors for some communication equation and plasma physics equation via generalized Riccati equation mapping method
Published: (2025-04-01)

High-Order Semi-Lagrangian Schemes for the Transport Equation on Icosahedron Spherical Grids
by: Fuqiang Lu, et al.
Published: (2022-10-01)

The Solutions of Initial (-Boundary) Value Problems for Sharma-Tasso-Olver Equation
by: Lingxiao Li, et al.
Published: (2022-01-01)

Approximate solutions to the Allen–Cahn equation using rational radial basis functions method
by: M. Shiralizadeh, et al.
Published: (2023-06-01)

Multi-wave solutions of the space–time fractional Burgers and Sharma–Tasso–Olver equations
by: Emad A.-B. Abdel-Salam, et al.
Published: (2016-03-01)

Inequalities for Jensen–Sharma–Mittal and Jeffreys–Sharma–Mittal Type <i>f</i>–Divergences
by: Paweł A. Kluza
Published: (2021-12-01)

Bäcklund Transformation and New Exact Solutions of the Sharma-Tasso-Olver Equation
by: Lin Jianming, et al.
Published: (2011-01-01)

Dynamic Analysis of the Susceptible-Exposed-Infected-Hospitalized-Critical-Recovered-Dead (SEIHCRD)
by: Juhari Juhari, et al.
Published: (2023-11-01)

New structures for exact solution of nonlinear fractional Sharma–Tasso–Olver equation by conformable fractional derivative
by: Asma Rashid Butt, et al.
Published: (2023-07-01)

Modification of Fourth order Runge-Kutta Method for Kutta Form With Geometric Means
by: Irma Suryani, et al.
Published: (2020-04-01)

Some Numerical Methods For Solving Fractional Parabolic Partial Differential Equations
by: Akram A. Al-Sabbagh, et al.
Published: (2010-06-01)

Research on Error Propagation Law of Flood Routingby Fourth-order Runge - Kutta Method
by: ZHOU Bin
Published: (2020-01-01)

Diagonally Implicit Runge–Kutta Type Method for Directly Solving Special Fourth-Order Ordinary Differential Equations with Ill-Posed Problem of a Beam on Elastic Foundation
by: Nizam Ghawadri, et al.
Published: (2018-12-01)

Approximation of Bivariate Functions by Generalized Wendland Radial Basis Functions
by: Abdelouahed Kouibia, et al.
Published: (2024-08-01)

Sharma-Mittal Entropy Properties on Record Values
by: Jerin Paul, et al.
Published: (2016-09-01)

A Comparative Analysis of Numerical Methods for Mathematical Modelling of Intravascular Drug Concentrations Using a Two-Compartment Pharmacokinetic Model
by: Kaniz Fatima, et al.
Published: (2025-07-01)

A mathematical and numerical study of an age-dependent transactivation model for dynamics of HIV infection
by: Luis X. Vivas-Cruz, et al.
Published: (2025-06-01)

Fifth-order Runge-Kutta with higher order derivative approximations
by: David Goeken, et al.
Published: (1999-12-01)

A new approach to estimating a numerical solution in the error embedded correction framework
by: Philsu Kim, et al.
Published: (2018-05-01)

Utilizing the extended tanh-function technique to scrutinize fractional order nonlinear partial differential equations
by: U.H.M. Zaman, et al.
Published: (2023-12-01)

Acoustic analysis using symmetrised implicit midpoint rule
by: N. Razali, et al.
Published: (2022-07-01)

Impulsive Discrete Runge–Kutta Methods and Impulsive Continuous Runge–Kutta Methods for Nonlinear Differential Equations with Delayed Impulses
by: Gui-Lai Zhang, et al.
Published: (2024-09-01)

Tasso di crescita naturale e crescita cumulativa nelle regioni italiane
by: Daria Ciriaci
Published: (2013-06-01)

Explicit- Implicit Runge-Kutta Methods to Solve the System of Nonlinear PPDEs in Two Dimensions
by: Abbas Al-Bayati, et al.
Published: (2012-07-01)

IMPROVING PARALLEL SOLUTIONS FOR METHOD OF LINES TO 1-D HEAT EQUATION BY USING FIVE POINT FINITE DIFFERENE
by: Qays Younis Mahmmod, et al.
Published: (2023-01-01)

Exploring the multistability, sensitivity, and wave profiles to the fractional Sharma–Tasso–Olver equation in the mathematical physics
by: Li Ming, et al.
Published: (2025-04-01)

Exact Solutions to the Sharma-Tasso-Olver Equation by Using Improved G′/G-Expansion Method
by: Yinghui He, et al.
Published: (2013-01-01)

New Iterative Method for the Solution of Fractional Damped Burger and Fractional Sharma-Tasso-Olver Equations
by: Mohammad Jibran Khan, et al.
Published: (2018-01-01)

A novel high-order symmetric and energy-preserving continuous-stage Runge-Kutta-Nyström Fourier pseudo-spectral scheme for solving the two-dimensional nonlinear wave equation
by: Dongjie Gao, et al.
Published: (2025-03-01)

Il carme V di Catullo in Torquato Tasso
by: Giandamiano Bovi
Published: (2022-06-01)

SERIES SOLUTION OF TYPHOID FEVER MODEL USING DIFFERENTIAL TRANSFORM METHOD
by: O. J. Peter, O. B. Akinduko, C. Y. Ishola , O. A. Afolabi , A. B. Ganiyu
Published: (2018-06-01)