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

To apply the suggested method to other nonlinear partial

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

The gap

To apply the suggested method to other nonlinear partial differential equations. To improve the method for time-dependent boundary conditions.

Evidence profile

Sourced from the future-work section and limitations section of the source papers, classified as general, spanning 3 journals.

Research trend

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

Supporting evidence — 3 representative gaps

A novel shifted Vieta–Lucas spectral collocation approach for multidimensional generalized Benjamin–Bona–Mahony–Burgers equations (2026) · Scientific Reports · doi
To apply the proposed VLCM method to other types of equations, such as nonlinear partial differential equations. To compare the proposed method with other methods in terms of computational cost and accuracy. To extend the proposed method to higher-dimensional equations.
generalfuture-work section
Keywords: apply proposed vlcm method other types equations nonlinear
Likelihood-informed model reduction for Bayesian inference of static structural loads (2026) · Structural and Multidisciplinary Optimization · doi
The method is limited to linear static systems. The method requires the solution of a high-dimensional discretization of a partial differential equation.
generallimitations sectionevidence 5/5
Keywords: method limited linear static systems requires solution high-dimensional
An Enriched Radial Point Interpolation - Rosenbrock Method for Numerical Simulation of Fitzhugh-Nagumo Equation (2026) · Journal of Mathematical Sciences and Modelling · doi
To apply the suggested method to other nonlinear partial differential equations. To improve the method for time-dependent boundary conditions.
generalfuture-work sectionevidence 4/5
Keywords: apply suggested method other nonlinear partial differential equations

Questions about this gap

To apply the suggested method to other nonlinear partial differential equations. To improve the method for time-dependent boundary conditions. This is supported by 3 representative gap statements extracted from 3 papers, rated weak evidence.

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