Method of Manufactured Solutions - Articles - Scientific Research Publishing

Verification of an Explicitly Coupled Thermal-Phase Field-Mechanical Electromagnetic (TPME) Framework by the Method of Manufactured Solutions (Articles)

Travis S. Ramsay

Open Journal of Modelling and Simulation Vol.9 No.1, December 10, 2020

DOI: 10.4236/ojmsi.2021.91001 522 Downloads 1,427 Views Citations
Homotopy Analysis Method for Equations of the Type Δ²=b(x,y) and Δ²u=b(x,y,u) (Articles)

Selcuk Yildirim

Journal of Applied Mathematics and Physics Vol.3 No.4, April 20, 2015

DOI: 10.4236/jamp.2015.34049 3,675 Downloads 5,565 Views Citations
Exact Solutions of Gardner Equations through tanh-coth Method (Articles)

Lin Lin, Shiyong Zhu, Yinkang Xu, Yubing Shi

Applied Mathematics Vol.7 No.18, December 22, 2016

DOI: 10.4236/am.2016.718186 2,547 Downloads 4,822 Views Citations
Using a New Auxiliary Equation to Construct Abundant Solutions for Nonlinear Evolution Equations (Articles)

Yifan Liu, Guojiang Wu

Journal of Applied Mathematics and Physics Vol.9 No.12, December 28, 2021

DOI: 10.4236/jamp.2021.912206 352 Downloads 1,553 Views Citations
Simplified Homogeneous Balance Method and Its Applications to the Whitham-Broer-Kaup Model Equations (Articles)

Mingliang Wang, Xiangzheng Li

Journal of Applied Mathematics and Physics Vol.2 No.8, July 21, 2014

DOI: 10.4236/jamp.2014.28091 3,189 Downloads 4,623 Views Citations
Higher-Order Solitions and Their Mixed Interactions for the (2 + 1)-Dimensional KdV Equation (Articles)

Meiling Duan, Keke Chen

Journal of Applied Mathematics and Physics Vol.13 No.10, October 30, 2025

DOI: 10.4236/jamp.2025.1310195 67 Downloads 293 Views Citations
Multiple Solutions for a Class of Concave-Convex Quasilinear Elliptic Systems with Nonlinear Boundary Condition (Articles)

Li Wang

Applied Mathematics Vol.4 No.3, March 21, 2013

DOI: 10.4236/am.2013.43067 5,763 Downloads 12,425 Views Citations
New Exact Explicit Solutions of the Generalized Zakharov Equation via the First Integral Method (Articles)

Yuhuai Sun, Hanlei Hu, Jian Zhang

Open Journal of Applied Sciences Vol.4 No.5, April 17, 2014

DOI: 10.4236/ojapps.2014.45025 3,899 Downloads 6,220 Views Citations
Absorption Spectroscopic Determination of Solubility of Alloxazine in Aqueous Solutions (Articles)

Alfons Penzkofer

Journal of Analytical Sciences, Methods and Instrumentation Vol.5 No.2, June 11, 2015

DOI: 10.4236/jasmi.2015.52002 4,280 Downloads 5,641 Views Citations
Result on the Convergence Behavior of Solutions of Certain System of Third-Order Nonlinear Differential Equations (Articles)

Akinwale L. Olutimo

International Journal of Modern Nonlinear Theory and Application Vol.5 No.1, March 7, 2016

DOI: 10.4236/ijmnta.2016.51005 2,914 Downloads 4,147 Views Citations
Augmented Lagrangian Methods for Numerical Solutions to Higher Order Differential Equations (Articles)

Xuefeng Li

Journal of Applied Mathematics and Physics Vol.5 No.2, February 15, 2017

DOI: 10.4236/jamp.2017.52021 1,600 Downloads 3,522 Views Citations
Stability Analysis of Periodic Solutions of Some Duffing’s Equations (Articles)

E. O. Eze, U. E. Obasi, E. U. Agwu

Open Journal of Applied Sciences Vol.9 No.4, April 23, 2019

DOI: 10.4236/ojapps.2019.94017 1,583 Downloads 3,284 Views Citations
Quasi-Exactly Solvable Differential Models: A Canonical Polynomials Approach (Articles)

Mohamad K. El-Daou, Talal H. AlZanki, Nadia S. Al-Mutawa

American Journal of Computational Mathematics Vol.9 No.2, May 30, 2019

DOI: 10.4236/ajcm.2019.92004 855 Downloads 1,898 Views Citations
Exact Solutions of Two Nonlinear Partial Differential Equations by the First Integral Method (Articles)

Qingmei Zhang, Mei Xiong, Longwei Chen

Advances in Pure Mathematics Vol.10 No.1, January 16, 2020

DOI: 10.4236/apm.2020.101002 1,416 Downloads 3,492 Views Citations
Homotopy Analysis Method for a Conservative Nonlinear Oscillator with Fractional Power (Articles)

Huaxiong Chen, Yanyan Wang

Journal of Applied Mathematics and Physics Vol.9 No.1, January 6, 2021

DOI: 10.4236/jamp.2021.91004 638 Downloads 1,859 Views Citations
Conservation Laws and Particular Solutions for a Keller-Segel Model (Articles)

Luyun Chen, Jie Lou

Advances in Pure Mathematics Vol.15 No.2, February 28, 2025

DOI: 10.4236/apm.2025.152005 111 Downloads 560 Views Citations
Symmetry and Monotonicity of Positive Solutions for a Class of Choquard Equation with Hardy Potential (Articles)

Ying Cai

Journal of Applied Mathematics and Physics Vol.13 No.3, March 25, 2025

DOI: 10.4236/jamp.2025.133046 98 Downloads 506 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 4,867 Downloads 9,333 Views Citations
The G-functions Series Method Adapted to the Numerical Integration of Parabolic PDE (Articles)

Mónica Cortés-Molina, José Antonio Reyes, Fernando García-Alonso

Journal of Applied Mathematics and Physics Vol.6 No.1, January 18, 2018

DOI: 10.4236/jamp.2018.61016 1,023 Downloads 2,162 Views Citations
Comparative Studies between Picard’s and Taylor’s Methods of Numerical Solutions of First Ordinary Order Differential Equations Arising from Real-Life Problems (Articles)

Khalid Abd Elrazig Awad Alla Elnour

Journal of Applied Mathematics and Physics Vol.12 No.3, March 29, 2024

DOI: 10.4236/jamp.2024.123055 318 Downloads 1,215 Views Citations

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