Phumlani Dlamini

404 total citations
25 papers, 321 citations indexed

About

Phumlani Dlamini is a scholar working on Numerical Analysis, Modeling and Simulation and Statistical and Nonlinear Physics. According to data from OpenAlex, Phumlani Dlamini has authored 25 papers receiving a total of 321 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Numerical Analysis, 13 papers in Modeling and Simulation and 8 papers in Statistical and Nonlinear Physics. Recurrent topics in Phumlani Dlamini's work include Fractional Differential Equations Solutions (13 papers), Numerical methods for differential equations (12 papers) and Differential Equations and Numerical Methods (10 papers). Phumlani Dlamini is often cited by papers focused on Fractional Differential Equations Solutions (13 papers), Numerical methods for differential equations (12 papers) and Differential Equations and Numerical Methods (10 papers). Phumlani Dlamini collaborates with scholars based in South Africa, United States and Eswatini. Phumlani Dlamini's co-authors include M. Khumalo, S. S. Motsa, Byron A. Jacobs, Precious Sibanda, Justin B. Munyakazi, Oluwaseun Francis Egbelowo, George Obaido, Kehinde Aruleba and C. W. Chukwu and has published in prestigious journals such as SHILAP Revista de lepidopterología, Nonlinear Dynamics and Alexandria Engineering Journal.

In The Last Decade

Phumlani Dlamini

25 papers receiving 305 citations

Peers

Phumlani Dlamini

Shah Jahan India

Naveed Khan Pakistan

Abeer M. Alotaibi Saudi Arabia

Muhammad Khalid Pakistan

Ramsha Shafqat Pakistan

Syed Tauseef Saeed Pakistan

Waseem Waseem Pakistan

M. Ahmed Pakistan

Yu-Pei Lv China

Abdul Bariq Pakistan

Shah Jahan India

Phumlani Dlamini

165 ×1.0

128 ×0.9

144 ×1.3

173 ×1.7

74 ×0.8

Citations per year, relative to Phumlani Dlamini Phumlani Dlamini (= 1×) peers Shah Jahan

Countries citing papers authored by Phumlani Dlamini

Since Specialization

Citations

This map shows the geographic impact of Phumlani Dlamini's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Phumlani Dlamini with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Phumlani Dlamini more than expected).

Fields of papers citing papers by Phumlani Dlamini

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Phumlani Dlamini. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Phumlani Dlamini. The network helps show where Phumlani Dlamini may publish in the future.

Co-authorship network of co-authors of Phumlani Dlamini

This figure shows the co-authorship network connecting the top 25 collaborators of Phumlani Dlamini. A scholar is included among the top collaborators of Phumlani Dlamini based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Phumlani Dlamini. Phumlani Dlamini is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Dlamini, Phumlani, et al.. (2024). Solving the Advection Diffusion Reaction Equations by Using the Enhanced Higher-Order Unconditionally Positive Finite Difference Method. Mathematics. 12(7). 1009–1009. 1 indexed citations

Dlamini, Phumlani, et al.. (2024). Developing Higher-Order Unconditionally Positive Finite Difference Methods for the Advection Diffusion Reaction Equations. Axioms. 13(4). 247–247. 1 indexed citations

Dlamini, Phumlani, et al.. (2023). Solving Lane–Emden equations with boundary conditions of various types using high-order compact finite differences. SHILAP Revista de lepidopterología. 31(1). 2 indexed citations

Dlamini, Phumlani, et al.. (2023). Solving singular boundary value problems using higher-order compact finite difference schemes with a novel higher-order implementation of Robin boundary conditions. Journal of Mathematical Chemistry. 61(7). 1604–1632. 1 indexed citations

Egbelowo, Oluwaseun Francis, et al.. (2023). Modeling visceral leishmaniasis and tuberculosis co-infection dynamics. Frontiers in Applied Mathematics and Statistics. 9. 5 indexed citations

Dlamini, Phumlani, et al.. (2022). Highly Accurate Compact Finite Difference Schemes for Two-Point Boundary Value Problems with Robin Boundary Conditions. Symmetry. 14(8). 1720–1720. 11 indexed citations

Dlamini, Phumlani, et al.. (2022). Enhanced Unconditionally Positive Finite Difference Method for Advection–Diffusion–Reaction Equations. Mathematics. 10(15). 2639–2639. 12 indexed citations

Khumalo, M., et al.. (2022). Multi-domain multivariate spectral collocation method for (2+1) dimensional nonlinear partial differential equations. Partial Differential Equations in Applied Mathematics. 6. 100440–100440. 4 indexed citations

Dlamini, Phumlani, et al.. (2021). An Efficient Spectral Method-based Algorithm for Solving a High-dimensional Chaotic Lorenz System. SHILAP Revista de lepidopterología. 3 indexed citations

10.

Dlamini, Phumlani, et al.. (2020). A multivariate spectral quasi-linearization method for the solution of (2+1) dimensional Burgers’ equations. International Journal of Nonlinear Sciences and Numerical Simulation. 21(7-8). 683–691. 2 indexed citations

11.

Dlamini, Phumlani, et al.. (2018). Compact finite difference relaxation method for chaotic and hyperchaotic initial value systems. Computational and Applied Mathematics. 37(4). 5187–5202. 12 indexed citations

12.

Dlamini, Phumlani & M. Khumalo. (2017). A new compact finite difference quasilinearization method for nonlinear evolution partial differential equations. Open Mathematics. 15(1). 1450–1462. 8 indexed citations

13.

Motsa, S. S., et al.. (2016). On a bivariate spectral relaxation method for unsteady magneto-hydrodynamic flow in porous media. SpringerPlus. 5(1). 455–455. 17 indexed citations

14.

Dlamini, Phumlani. (2015). On spectral relaxation and compact finite difference schemes for ordinary and partial differential equations. 1 indexed citations

15.

Dlamini, Phumlani, M. Khumalo, & S. S. Motsa. (2014). A Note on the Multi-stage Spectral Relaxation Method for Chaos Control and Synchronization. International Journal of Nonlinear Sciences and Numerical Simulation. 15(5). 289–298. 5 indexed citations

16.

Motsa, S. S., Phumlani Dlamini, & M. Khumalo. (2014). Spectral Relaxation Method and Spectral Quasilinearization Method for Solving Unsteady Boundary Layer Flow Problems. Advances in Mathematical Physics. 2014. 1–12. 106 indexed citations

17.

Dlamini, Phumlani, S. S. Motsa, & M. Khumalo. (2013). On the Comparison between Compact Finite Difference and Pseudospectral Approaches for Solving Similarity Boundary Layer Problems. Mathematical Problems in Engineering. 2013. 1–15. 10 indexed citations

18.

Dlamini, Phumlani, S. S. Motsa, & M. Khumalo. (2013). Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow Problems. Advances in Mathematical Physics. 2013. 1–10. 4 indexed citations

19.

Motsa, S. S., Phumlani Dlamini, & M. Khumalo. (2012). A new multistage spectral relaxation method for solving chaotic initial value systems. Nonlinear Dynamics. 72(1-2). 265–283. 48 indexed citations

20.

Motsa, S. S., Phumlani Dlamini, & M. Khumalo. (2012). Solving Hyperchaotic Systems Using the Spectral Relaxation Method. Abstract and Applied Analysis. 2012(1). 30 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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