Numerical solution of nonlinear fifth-order KdV-type partial differential equations via Haar wavelet
DOI10.1007/s40819-020-00907-1zbMath1472.65132OpenAlexW3094920390WikidataQ115372311 ScholiaQ115372311MaRDI QIDQ2026870
Malik Zawwar Hussain, Sidra Saleem
Publication date: 21 May 2021
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-020-00907-1
Sawada-Kotera equationLax equationHaar wavelet collocation methodIto equationKaup-Kuperschmidt equationCaudrey-Dodd-Gibbon equation
KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for wavelets (65T60) Mittag-Leffler functions and generalizations (33E12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Solitons, periodic waves, breathers and integrability for a nonisospectral and variable-coefficient fifth-order Korteweg-de Vries equation in fluids
- Wavelets collocation methods for the numerical solution of elliptic BV problems
- A Haar wavelet-finite difference hybrid method for the numerical solution of the modified Burgers' equation
- The numerical solution of second-order boundary-value problems by collocation method with the Haar wavelets
- Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework
- Numerical and explicit solutions of the fifth-order Korteweg-de Vries equations
- Soliton solutions for the fifth-order KdV equation with the homotopy analysis method
- The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations
- Harmonic wavelet method towards solution of the Fredholm type integral equations of the second kind
- State analysis of linear time delayed systems via Haar wavelets
- An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
- Nonlinear superposition formula for the Kaup-Kuperschmidt partial differential equation
- A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel
- Numerical solution of differential equations using Haar wavelets
- Non-homogeneous boundary value problems of the fifth-order KdV equations on a bounded interval
- Visco-elastic dampers in structural buildings and numerical solution with spline collocation methods
- Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative
- A mathematical theoretical study of a particular system of Caputo-Fabrizio fractional differential equations for the rubella disease model
- A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative
- A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative
- A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions
- Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative
- Numerical treatment for the solution of fractional fifth-order Sawada-Kotera equation using second kind Chebyshev wavelet method
- On the Cauchy problem for the strong dissipative fifth-order KdV equations
- Numerical solutions of fractional delay differential equations using Chebyshev wavelet method
- Haar wavelet method for nonlinear integro-differential equations
- On a three step crisis integro-differential equation
- Nonlinear self-adjointness of a generalized fifth-order KdV equation
- Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
- Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
- Haar wavelet method for solving lumped and distributed-parameter systems
- A review of numerical methods for nonlinear partial differential equations
- Comparison of Caputo and conformable derivatives for time-fractional Korteweg–de Vries equation via the finite difference method
- Numerical Solutions of Time Fractional Korteweg--de Vries Equation and Its Stability Analysis
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