Legendre Polynomials; Partial Differential Equations; Collocation Method - Articles

Relations between Climatic Changes and High Pollution Levels in Bulgaria (Articles)

Zahari Zlatev, Ivan Dimov, Krassimir Georgiev

Open Journal of Applied Sciences Vol.6 No.7, July 14, 2016

DOI: 10.4236/ojapps.2016.67040 2,123 Downloads 3,015 Views Citations
Nonparametric Model Calibration for Derivatives (Articles)

Frédéric Abergel, Rémy Tachet des Combes, Riadh Zaatour

Journal of Mathematical Finance Vol.7 No.3, July 13, 2017

DOI: 10.4236/jmf.2017.73030 1,283 Downloads 2,715 Views Citations
Solving Three Dimensional and Time Depending PDEs by Haar Wavelets Method (Articles)

Abdeljalil Nachaoui, Ekhlass S. Al-Rawi, Ahmed F. Qasim

Open Access Library Journal Vol.5 No.5, May 24, 2018

DOI: 10.4236/oalib.1104496 864 Downloads 2,864 Views Citations
D’Alembert and the Wave Equation: Its Disputes and Controversies (Articles)

Agamenon R. E. Oliveira

Advances in Historical Studies Vol.9 No.4, November 30, 2020

DOI: 10.4236/ahs.2020.94019 1,352 Downloads 8,049 Views Citations
Hopf Bifurcation of a Gene-Protein Network Module with Reaction Diffusion and Delay Effects (Articles)

Suqi Ma Ma

International Journal of Modern Nonlinear Theory and Application Vol.10 No.3, July 14, 2021

DOI: 10.4236/ijmnta.2021.103007 417 Downloads 1,633 Views Citations
The Jaffa Transform for Hessian Matrix Systems and the Laplace Equation (Articles)

Daniel A. Jaffa

Journal of Applied Mathematics and Physics Vol.12 No.1, January 26, 2024

DOI: 10.4236/jamp.2024.121010 251 Downloads 1,198 Views Citations
Modified Legendre Collocation Block Method for Solving Initial Value Problems of First Order Ordinary Differential Equations (Articles)

Toyin Gideon Okedayo, Ayodele Olakiitan Owolanke, Olaseni Taiwo Amumeji, Muyiwa Philip Adesuyi

Open Access Library Journal Vol.5 No.7, July 6, 2018

DOI: 10.4236/oalib.1104565 983 Downloads 2,732 Views Citations
New Solutions to Nonlinear Ordinary Differential Equations (Articles)

Moawia Alghalith

Advances in Pure Mathematics Vol.1 No.1, January 29, 2011

DOI: 10.4236/apm.2011.11002 7,854 Downloads 22,941 Views Citations
Solving high-order nonlinear Volterra-Fredholm integro-differential equations by differential transform method (Articles)

Salah H. Behiry, Saied I. Mohamed

Natural Science Vol.4 No.8, August 29, 2012

DOI: 10.4236/ns.2012.48077 7,921 Downloads 14,874 Views Citations
Operational Calculus with Hermite Polynomials and a Quite General Gaussian Integral (Articles)

Alfred Wünsche

Journal of Modern Physics Vol.16 No.5, May 30, 2025

DOI: 10.4236/jmp.2025.165040 84 Downloads 580 Views Citations
A Study on State Constraint Optimal Control Problems (Articles)

Jinghao Zhu

Open Access Library Journal Vol.11 No.9, September 6, 2024

DOI: 10.4236/oalib.1112066 95 Downloads 581 Views Citations
Method of Lines for Third Order Partial Differential Equations (Articles)

Mustafa Kudu, Ilhame Amirali

Journal of Applied Mathematics and Physics Vol.2 No.2, January 21, 2014

DOI: 10.4236/jamp.2014.22005 3,899 Downloads 8,203 Views Citations
Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time-Space Fractional Nonlinear Fractional Differential Equations (Articles)

Mohamed Z. Mohamed, Tarig M. Elzaki

Applied Mathematics Vol.9 No.4, April 30, 2018

DOI: 10.4236/am.2018.94032 1,952 Downloads 4,962 Views Citations
Application of the Adomian Decomposition Method (ADM) for Solving the Singular Fourth-Order Parabolic Partial Differential Equation (Articles)

Béyi Boukary, Justin Loufouilou-Mouyedo, Joseph Bonazebi-Yindoula, Gabriel Bissanga

Journal of Applied Mathematics and Physics Vol.6 No.7, July 24, 2018

DOI: 10.4236/jamp.2018.67124 1,368 Downloads 4,066 Views Citations
The Adomian Decomposition Method for Solving Nonlinear Partial Differential Equation Using Maple (Articles)

Dalal Adnan Maturi, Honaida Mohammed Malaikah

Advances in Pure Mathematics Vol.11 No.6, June 28, 2021

DOI: 10.4236/apm.2021.116038 971 Downloads 5,593 Views Citations
Solving nth-Order Integro-Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method (Articles)

Waleed Al-Hayani

Applied Mathematics Vol.4 No.6, June 3, 2013

DOI: 10.4236/am.2013.46121 6,341 Downloads 11,344 Views Citations
Spectral Element Simulation of Rotating Particle in Viscous Flow (Articles)

Don Liu, Ning Zhang

Journal of Applied Mathematics and Physics Vol.4 No.7, July 25, 2016

DOI: 10.4236/jamp.2016.47132 1,580 Downloads 2,664 Views Citations
Solution of Nonlinear Integro Differential Equations by Two-Step Adomian Decomposition Method (TSAM) (Articles)

Maryam Al-Mazmumy, Safa O. Almuhalbedi

International Journal of Modern Nonlinear Theory and Application Vol.5 No.4, December 16, 2016

DOI: 10.4236/ijmnta.2016.54022 2,051 Downloads 4,689 Views Citations
Galerkin Method for Numerical Solution of Volterra Integro-Differential Equations with Certain Orthogonal Basis Function (Articles)

Omotayo Adebayo Taiwo, Liman Kibokun Alhassan, Olutunde Samuel Odetunde, Olatayo Olusegun Alabi

International Journal of Modern Nonlinear Theory and Application Vol.12 No.2, June 30, 2023

DOI: 10.4236/ijmnta.2023.122005 316 Downloads 1,412 Views Citations
Characterization of Optical Aberrations Induced by Thermal Gradients and Vibrations via Zernike and Legendre Polynomials (Articles)

Igor Di Varano

Optics and Photonics Journal Vol.6 No.6, June 28, 2016

DOI: 10.4236/opj.2016.66014 2,811 Downloads 5,258 Views Citations

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