Spectral Equation - Articles - Scientific Research Publishing

Approximate Solution of Non-Linear Fractional Klein-Gordon Equation Using Spectral Collocation Method (Articles)

Rubayyi T. Alqahtani

Applied Mathematics Vol.6 No.13, November 30, 2015

DOI: 10.4236/am.2015.613190 2,705 Downloads 4,146 Views Citations
This article belongs to the Special Issue on Fractional Calculus
A Direct Transformation of a Matrix Spectrum (Articles)

Albert Iskhakov, Sergey Skovpen

Advances in Linear Algebra & Matrix Theory Vol.5 No.3, September 14, 2015

DOI: 10.4236/alamt.2015.53011 5,718 Downloads 7,620 Views Citations
A Finite-Dimensional Integrable System Related to the Complex 3 × 3 Spectral Problem and the Coupled Nonlinear Schrödinger Equation (Articles)

Lanxin Chen, Junxian Zhang

World Journal of Engineering and Technology Vol.3 No.3C, October 23, 2015

DOI: 10.4236/wjet.2015.33C048 3,090 Downloads 4,094 Views Citations
Lagrange’s Spectral Collocation Method for Numerical Approximations of Two-Dimensional Space Fractional Diffusion Equation (Articles)

Hasib Uddin Molla, Mushfika Hossain Nova

American Journal of Computational Mathematics Vol.8 No.2, June 13, 2018

DOI: 10.4236/ajcm.2018.82010 1,386 Downloads 3,384 Views Citations
The Numerical Solution of Poisson Equation with Dirichlet Boundary Conditions (Articles)

Peng Guo

Journal of Applied Mathematics and Physics Vol.9 No.12, December 9, 2021

DOI: 10.4236/jamp.2021.912194 617 Downloads 5,816 Views Citations
A Spectral Integral Equation Solution of the Gross-Pitaevskii Equation (Articles)

George Rawitscher

Applied Mathematics Vol.4 No.10C, October 23, 2013

DOI: 10.4236/am.2013.410A3009 7,492 Downloads 10,545 Views Citations
This article belongs to the Special Issue on Advances in Mathematical Physics
Second Kind Shifted Chebyshev Polynomials for Solving the Model Nonlinear ODEs (Articles)

Amr M. S. Mahdy, N. A. H. Mukhtar

American Journal of Computational Mathematics Vol.7 No.4, October 26, 2017

DOI: 10.4236/ajcm.2017.74028 1,653 Downloads 4,343 Views Citations
Pulsating Solitons in the Two-Dimensional Complex Swift-Hohenberg Equation (Articles)

Aladji Kamagaté, Alain-Brice Moubissi

Journal of Applied Mathematics and Physics Vol.6 No.10, October 29, 2018

DOI: 10.4236/jamp.2018.610179 817 Downloads 1,818 Views Citations
Pseudo-Spectral Method for Space Fractional Diffusion Equation (Articles)

Yiting Huang, Minling Zheng

Applied Mathematics Vol.4 No.11, November 5, 2013

DOI: 10.4236/am.2013.411202 4,183 Downloads 7,306 Views Citations
Chebyshev Pseudo-Spectral Method for Solving Fractional Advection-Dispersion Equation (Articles)

N. H. Sweilam, M. M. Khader, M. Adel

Applied Mathematics Vol.5 No.19, November 18, 2014

DOI: 10.4236/am.2014.519301 5,311 Downloads 7,248 Views Citations
This article belongs to the Special Issue on Numerical Analysis
An Accurate Numerical Solution for the Modified Equal Width Wave Equation Using the Fourier Pseudo-Spectral Method (Articles)

Hany N. Hassan

Journal of Applied Mathematics and Physics Vol.4 No.6, June 13, 2016

DOI: 10.4236/jamp.2016.46110 2,131 Downloads 3,612 Views Citations
Comparison of Numerical Approximations of One-Dimensional Space Fractional Diffusion Equation Using Different Types of Collocation Points in Spectral Method Based on Lagrange’s Basis Polynomials (Articles)

Mushfika Hossain Nova, Hasib Uddin Molla, Sajeda Banu

American Journal of Computational Mathematics Vol.7 No.4, December 15, 2017

DOI: 10.4236/ajcm.2017.74034 1,174 Downloads 2,547 Views Citations
Two-Level Block Decompositions for Solving Helmholtz Equation via Chebyshev Pseudo Spectral Method (Articles)

Hsin-Chu Chen

Journal of Modern Physics Vol.9 No.9, August 1, 2018

DOI: 10.4236/jmp.2018.99107 816 Downloads 1,805 Views Citations
This article belongs to the Special Issue on Computational Physics
A Family of the Exponential Attractors and the Inertial Manifolds for a Class of Generalized Kirchhoff Equations (Articles)

Guoguang Lin, Lujiao Yang

Journal of Applied Mathematics and Physics Vol.9 No.10, September 30, 2021

DOI: 10.4236/jamp.2021.910152 333 Downloads 1,167 Views Citations
This article belongs to the Special Issue on Nonlinear Differential Equations
A Family of Inertial Manifolds of Coupled Kirchhoff Equations (Articles)

Guoguang Lin, Fumei Chen

Journal of Applied Mathematics and Physics Vol.10 No.6, June 30, 2022

DOI: 10.4236/jamp.2022.106141 275 Downloads 897 Views Citations
A Spectral Method for Convection-Diffusion Equations (Articles)

Peng Guo, Qin Wang, Zhengang Zhao

Applied Mathematics Vol.13 No.12, December 30, 2022

DOI: 10.4236/am.2022.1312061 342 Downloads 1,764 Views Citations
Exactly Solvable Two-Parameter Models of Relativistic ${δ^{'}}_{s}$ -Sphere Interactions in Quantum Mechanics (Articles)

Jules Manirambona, Juma Shabani, Alfred Vyabandi

Journal of Applied Mathematics and Physics Vol.12 No.4, April 29, 2024

DOI: 10.4236/jamp.2024.124078 184 Downloads 667 Views Citations
A Simulated Unified Resultant Amplitude Method for Multi-Dimensional/Multi-Variable Opposite Wave Summation (Articles)

Shawn P. Guillory

Journal of Applied Mathematics and Physics Vol.13 No.1, January 26, 2025

DOI: 10.4236/jamp.2025.131013 97 Downloads 587 Views Citations
Numerical Solution of Mean-Square Approximation Problem of Real Nonnegative Function by the Modulus of Double Fourier Integral (Articles)

Petro Savenko, Myroslava Tkach

Applied Mathematics Vol.2 No.9, September 19, 2011

DOI: 10.4236/am.2011.29149 4,574 Downloads 8,766 Views Citations
Asymptotic Formulas of the Solutions and the Trace Formulas for the Polynomial Pencil of the Sturm-Liouville Operators (Articles)

A. Adiloglu Nabiev

Applied Mathematics Vol.7 No.18, December 28, 2016

DOI: 10.4236/am.2016.718189 1,479 Downloads 2,650 Views Citations

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