How many papers support this gap analysis?

3 papers from our local library contribute to this synthesis, with an average publication year of 2026.

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mathematics3 papersavg year 2026weak evidence

The lack of efficient numerical methods for solving nonlinear time-fractional convection-diffusion problems

Research gap analysis derived from 3 mathematics papers in our local library.

The gap

The lack of efficient numerical methods for solving nonlinear time-fractional convection-diffusion problems. The limitations of classical derivatives in modeling real-world phenomena.

Evidence profile

Sourced from the future-work section and stated research gap of the source papers, classified as general, spanning 3 journals. Those papers have been cited 1 times in total.

Research trend

Established — well-defined area with open sub-problems.

Supporting evidence — 3 representative gaps

Robust Spectral Preconditioning for High-Péclet Number Convection-Diffusion (2026) · Journal of Scientific Computing · doi
Further analysis of the method for the indefinite case. Application of the method to other problems, such as unsteady convection-diffusion equations. Comparison of the method with other numerical methods for convection-diffusion equations.
generalfuture-work sectionevidence 5/5
Keywords: further analysis method indefinite case application other problems
A Hybrid Two-Level Finite Element Method for the Stationary Natural Convection Problem and Parallel Implementation (2026) · Journal of Computational Mathematics · cited 1× · doi
To extend the proposed method to more complex geometries and problems. To compare the proposed method with other existing methods comprehensively. To apply the proposed method to various fields and phenomena involving natural convection.
generalfuture-work sectionevidence 5/5
Keywords: extend proposed method complex geometries problems compare other
Tension spline-quasilinearization scheme for generalized nonlinear time-fractional convection-diffusion equations (2026) · DOAJ (DOAJ: Directory of Open Access Journals) · doi
The lack of efficient numerical methods for solving nonlinear time-fractional convection-diffusion problems. The limitations of classical derivatives in modeling real-world phenomena.
generalstated research gapevidence 5/5
Keywords: lack efficient numerical methods solving nonlinear time-fractional convection-diffusion

Questions about this gap

The lack of efficient numerical methods for solving nonlinear time-fractional convection-diffusion problems. The limitations of classical derivatives in modeling real-world phenomena. This is supported by 3 representative gap statements extracted from 3 papers, rated weak evidence.

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