Legendre Polynomials; Partial Differential Equations; Collocation Method - Articles

Adomian Decomposition Method for Solving Boussinesq Equations Using Maple (Articles)

Ameera Aljuhani, Dalal Maturi, Hashim Alshehri

Applied Mathematics Vol.14 No.2, February 23, 2023

DOI: 10.4236/am.2023.142007 289 Downloads 1,301 Views Citations
This article belongs to the Special Issue on Applied Mathematics and Analysis
Higher-Order WHEP Solutions of Quadratic Nonlinear Stochastic Oscillatory Equation (Articles)

Mohamed A. El-Beltagy, Amnah S. Al-Johani

Engineering Vol.5 No.5A, May 24, 2013

DOI: 10.4236/eng.2013.55A009 3,749 Downloads 5,817 Views Citations
This article belongs to the Special Issue on Mathematical Problems in Engineering
A Comparative Survey of an Approximate Solution Method for Stochastic Delay Differential Equations (Articles)

Emenonye Christian Emenonye, Donatus Anonwa

Applied Mathematics Vol.14 No.3, March 28, 2023

DOI: 10.4236/am.2023.143012 236 Downloads 1,055 Views Citations
Numerical Simulation of Reaction-Diffusion Systems of Turing Pattern Formation (Articles)

Gendai Gu, Hongxiao Peng

International Journal of Modern Nonlinear Theory and Application Vol.4 No.4, November 12, 2015

DOI: 10.4236/ijmnta.2015.44016 6,174 Downloads 8,800 Views Citations
The Economic Dynamics of Inflation and Unemployment (Articles)

Tamara Todorova

Theoretical Economics Letters Vol.2 No.2, May 23, 2012

DOI: 10.4236/tel.2012.22025 10,596 Downloads 18,895 Views Citations
The Existence of Meromorphic Solutions to Non-Linear Delay Differential Equations (Articles)

Mingyue Wu

Open Journal of Applied Sciences Vol.13 No.12, December 20, 2023

DOI: 10.4236/ojapps.2023.1312182 172 Downloads 634 Views Citations
Comparative Study of the Adomian Decomposition Method and Alternating Direction Implicit (ADI) for the Resolution of the Problems of Advection-Diffusion-Reaction (Articles)

André Bitsindou, Joseph Bonazebi-Yindoula, Gabriel Bissanga

Journal of Applied Mathematics and Physics Vol.6 No.9, September 30, 2018

DOI: 10.4236/jamp.2018.69165 891 Downloads 1,942 Views Citations
An Efficient Projected Gradient Method for Convex Constrained Monotone Equations with Applications in Compressive Sensing (Articles)

Yaping Hu, Yujie Wang

Journal of Applied Mathematics and Physics Vol.8 No.6, June 1, 2020

DOI: 10.4236/jamp.2020.86077 627 Downloads 2,108 Views Citations
Adomian Decomposition Method with Green’s Function for Solving Tenth-Order Boundary Value Problems (Articles)

Waleed Al-Hayani

Applied Mathematics Vol.5 No.10, June 3, 2014

DOI: 10.4236/am.2014.510136 3,586 Downloads 5,562 Views Citations
Numerical Solution for the Fractional Wave Equation Using Pseudo-Spectral Method Based on the Generalized Laguerre Polynomials (Articles)

Nasser H. Sweilam, Mohamed M. Khader, Mohamed Adel

Applied Mathematics Vol.6 No.4, April 10, 2015

DOI: 10.4236/am.2015.64058 4,416 Downloads 6,279 Views Citations
The Mixture of New Integral Transform and Homotopy Perturbation Method for Solving Discontinued Problems Arising in Nanotechnology (Articles)

Kunjan Shah, Twinkle Singh

Open Journal of Applied Sciences Vol.5 No.11, November 19, 2015

DOI: 10.4236/ojapps.2015.511068 3,905 Downloads 5,324 Views Citations
Approach to Riemann Hypothesis by Combined Commensurable Step Function Approximation with Bonnet Method (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.10 No.5, May 6, 2020

DOI: 10.4236/apm.2020.105013 669 Downloads 1,872 Views Citations
An Efficient Maple Program for Calculating Adomian Polynomials (Articles)

Mariam Al-Mazmumy

American Journal of Computational Mathematics Vol.13 No.4, November 3, 2023

DOI: 10.4236/ajcm.2023.134028 280 Downloads 1,086 Views Citations
Galerkin-Bernstein Approximations for the System of Third-Order Nonlinear Boundary Value Problems (Articles)

Snigdha Dhar, Md. Shafiqul Islam

Journal of Applied Mathematics and Physics Vol.12 No.6, June 19, 2024

DOI: 10.4236/jamp.2024.126127 105 Downloads 692 Views Citations
The Coercive Property and a Priori Error Estimation of the Finite Element Method for Linearly Distributed Time Order Fractional Telegraph Equation with Restricted Initial Conditions (Articles)

Ebimene James Mamadu, Henrietta Ify Ojarikre, Daniel Chinedu Iweobodo, Ebikonbo-Owei Anthony Mamadu, Jonathan Tsetimi, Ignatius Nkonyeasua Njoseh

American Journal of Computational Mathematics Vol.14 No.4, October 15, 2024

DOI: 10.4236/ajcm.2024.144019 89 Downloads 563 Views Citations
Differential Transform Method for Some Delay Differential Equations (Articles)

Baoqing Liu, Xiaojian Zhou, Qikui Du

Applied Mathematics Vol.6 No.3, March 24, 2015

DOI: 10.4236/am.2015.63053 5,168 Downloads 8,841 Views Citations
A New Algorithm Based on Differential Transform Method for Solving Partial Differential Equation System with Initial and Boundary Conditions (Articles)

Chenlu Huang, Jiwei Li, Fali Lin

Advances in Pure Mathematics Vol.10 No.5, May 25, 2020

DOI: 10.4236/apm.2020.105020 1,311 Downloads 4,674 Views Citations
Exact Traveling Wave Solutions of Nonlinear PDEs in Mathematical Physics (Articles)

Jameel F. Alzaidy

Applied Mathematics Vol.3 No.7, June 19, 2012

DOI: 10.4236/am.2012.37109 4,837 Downloads 9,251 Views Citations
Controllability of Neutral Impulsive Differential Inclusions with Non-Local Conditions (Articles)

Dimplekumar N. Chalishajar, Falguni S. Acharya

Applied Mathematics Vol.2 No.12, December 27, 2011

DOI: 10.4236/am.2011.212211 4,668 Downloads 9,206 Views Citations
Multidimensional Laplace Transforms over Quaternions, Octonions and Cayley-Dickson Algebras, Their Applications to PDE (Articles)

Sergey Victor Ludkovsky

Advances in Pure Mathematics Vol.2 No.2, March 22, 2012

DOI: 10.4236/apm.2012.22013 8,571 Downloads 15,637 Views Citations

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