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Everything about Kansa method
Computational method for solving partial differential equations
The Kansa method is a meshless numerical method for solving partial differential equations (PDEs) introduced by E. J. Kansa in the early 1990s. The method uses radial basis functions (RBFs) to approximate the solution in a strong-form collocation framework. The method is a domain-type numerical technique in the sense that the problem is discretized not only on the boundary to satisfy boundary conditions but also inside domain to satisfy governing equation. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Kansa methodA 5-minute orientation
- Skim a recent paper: Numerical study of generalized 2-D nonlinear Schrödinger equation using Kansa methodInfluential work since 2022
- Pick up a classic book: Simulation of solar heating and cooling systems, using the continuous system modeling programThe most-reprinted book on the subject
- Read the landmark paper: Fractional diffusion equations by the Kansa methodCited 210 times
- Go sideways: Radial basis functionA closely related topic
- Go sideways: Method of fundamental solutionsA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Fractional diffusion equations by the Kansa method
Space-fractional advection–dispersion equations by the Kansa method
Improved Kansa RBF method for the solution of nonlinear boundary value problems
A fast semi-discrete Kansa method to solve the two-dimensional spatiotemporal fractional diffusion equation
KANSA METHOD BASED ON THE HAUSDORFF FRACTAL DISTANCE FOR HAUSDORFF DERIVATIVE POISSON EQUATIONS
A Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains
The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems
Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems
🆕 Influential since 2022
Numerical study of generalized 2-D nonlinear Schrödinger equation using Kansa method
Kansa method for solving initial-value problem of hyperbolic heat conduction in nonhomogeneous medium
Numerical Investigation of the One-dimensional Fractional Rayleigh-Stokes Equation in Caputo Sense by Kansa RBF Method
A finite difference/Kansa method for the two-dimensional time and space fractional Bloch-Torrey equation
Coupled Kansa and hybrid optimization methodological approach for Kolmogorov–Feller equations
đź“š Books worth reading
- 📕Simulation of solar heating and cooling systems, using the continuous system modeling programTho Ching Ho · 1978
- 📕Analysis of calving season strategiesMark E. Nelson · 1986
- 📕Kindergarten-primary activities based on community lifeLucy Weller Clouser · 1929
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
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