Differential Polynomials - Articles - Scientific Research Publishing

New Implementation of Legendre Polynomials for Solving Partial Differential Equations (Articles)

Ali Davari, Abozar Ahmadi

Applied Mathematics Vol.4 No.12，December 3, 2013

DOI: 10.4236/am.2013.412224 5,739 Downloads 9,282 Views Citations
Uniqueness of Meromorphic Functions Whose Differential Polynomials Share One Value (Articles)

Jin Tao, Xinli Wang

Journal of Applied Mathematics and Physics Vol.6 No.11，November 19, 2018

DOI: 10.4236/jamp.2018.611188 737 Downloads 1,332 Views Citations
A Novel Iterative Method Based on Bernstein-Adomian Polynomials to Solve Non-Linear Differential Equations (Articles)

Afaf Nasser Yousif, Ahmed Farooq Qasim

Open Access Library Journal Vol.7 No.5，April 29, 2020

DOI: 10.4236/oalib.1106267 625 Downloads 1,753 Views Citations
Uniqueness of Meromorphic Functions with Their Nonlinear Differential Polynomials Share a Small Function (Articles)

Harina P. Waghamore, Tanuja Adaviswamy

Applied Mathematics Vol.2 No.11，November 30, 2011

DOI: 10.4236/am.2011.211191 3,742 Downloads 7,010 Views Citations
Generalization of Uniqueness of Meromorphic Functions Sharing Fixed Point (Articles)

Harina P. Waghamore, Sangeetha Anand

Applied Mathematics Vol.7 No.9，May 27, 2016

DOI: 10.4236/am.2016.79084 2,001 Downloads 3,158 Views Citations
This article belongs to the Special Issue on Complex Analysis
A New Technique for Solving Fractional Order Systems: Hermite Collocation Method (Articles)

Nilay Akgonullu Pirim, Fatma Ayaz

Applied Mathematics Vol.7 No.18，December 12, 2016

DOI: 10.4236/am.2016.718182 6,439 Downloads 8,250 Views Citations
This article belongs to the Special Issue on Fractional Calculus and its Application
Numerical Solution for Initial and Boundary Value Problems of Fractional Order (Articles)

A. M. Kawala

Advances in Pure Mathematics Vol.8 No.12，December 19, 2018

DOI: 10.4236/apm.2018.812051 1,331 Downloads 2,827 Views Citations
Chebyshev Polynomial-Based Analytic Solution Algorithm with Efficiency, Stability and Sensitivity for Classic Vibrational Constant Coefficient Homogeneous IVPs with Derivative Orders n, n-1, n-2 (Articles)

David P. Stapleton

American Journal of Computational Mathematics Vol.12 No.4，October 19, 2022

DOI: 10.4236/ajcm.2022.124023 160 Downloads 738 Views Citations
A Comparative Study of Variational Iteration Method and He-Laplace Method (Articles)

Hradyesh Kumar Mishra

Applied Mathematics Vol.3 No.10，October 12, 2012

DOI: 10.4236/am.2012.310174 7,470 Downloads 13,551 Views Citations
A Comparative Study of Adomain Decompostion Method and He-Laplace Method (Articles)

Badradeen A. A. Adam

Applied Mathematics Vol.5 No.21，December 1, 2014

DOI: 10.4236/am.2014.521312 5,718 Downloads 7,000 Views Citations
Mixture of a New Integral Transform and Homotopy Perturbation Method for Solving Nonlinear Partial Differential Equations (Articles)

Artion Kashuri, Akli Fundo, Matilda Kreku

Advances in Pure Mathematics Vol.3 No.3，May 8, 2013

DOI: 10.4236/apm.2013.33045 5,557 Downloads 11,017 Views Citations
Hermite Matrix Polynomial Collocation Method for Linear Complex Differential Equations and Some Comparisons (Articles)

Mina Bagherpoorfard, Fahime Akhavan Ghassabzade

Journal of Applied Mathematics and Physics Vol.1 No.5，October 23, 2013

DOI: 10.4236/jamp.2013.15009 4,614 Downloads 8,203 Views Citations
Higher-Order Numeric Solutions for Nonlinear Systems Based on the Modified Decomposition Method (Articles)

Junsheng Duan

Journal of Applied Mathematics and Physics Vol.2 No.1，January 9, 2014

DOI: 10.4236/jamp.2014.21001 3,905 Downloads 5,826 Views Citations
Generalization of Uniqueness Theorems for Entire and Meromorphic Functions (Articles)

Harina P. Waghamore, N. Shilpa

Applied Mathematics Vol.5 No.8，May 8, 2014

DOI: 10.4236/am.2014.58118 4,015 Downloads 5,728 Views Citations
A “Hard to Die” Series Expansion and Lucas Polynomials of the Second Kind (Articles)

Pierpaolo Natalini, Paolo E. Ricci

Applied Mathematics Vol.6 No.8，July 14, 2015

DOI: 10.4236/am.2015.68116 3,297 Downloads 4,250 Views Citations
On the High-Order Quasi Exactly Solvable Differential Equations (Articles)

Talal H. Alzanki, Mohamed S. Shaaban, Mohamad K. El-Daou

American Journal of Computational Mathematics Vol.9 No.4，November 29, 2019

DOI: 10.4236/ajcm.2019.94018 693 Downloads 1,452 Views Citations
Power and Chebyshev Series Transformation Formulas with Applications to Solving Ordinary Differential Equations via the Fröbenius and Taylor’s Methods (Articles)

Hippolyte Nyengeri, Rénovat Nizigiyimana, Jean-Pierre Mutankana, Henry Bayaga, Ferdinand Bayubahe

Open Access Library Journal Vol.8 No.2，February 26, 2021

DOI: 10.4236/oalib.1107142 261 Downloads 1,967 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

Int'l J. of Modern Nonlinear Theory and Application Vol.12 No.2，June 30, 2023

DOI: 10.4236/ijmnta.2023.122005 256 Downloads 1,088 Views Citations
Legendre-Weighted Residual Methods for System of Fractional Order Differential Equations (Articles)

Umme Ruman, Md. Shafiqul Islam

Journal of Applied Mathematics and Physics Vol.12 No.9，September 27, 2024

DOI: 10.4236/jamp.2024.129190 56 Downloads 270 Views Citations
An Extended Numerical Method by Stancu Polynomials for Solution of Integro-Differential Equations Arising in Oscillating Magnetic Fields (Articles)

Neşe İşler Acar

Advances in Pure Mathematics Vol.14 No.10，October 31, 2024

DOI: 10.4236/apm.2024.1410043 75 Downloads 293 Views Citations

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