Numerical Methods for Differential Equations and Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".

Deadline for manuscript submissions: 30 September 2024 | Viewed by 152

Special Issue Editor


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Guest Editor
Dyrecta Lab, Research Institute, Via Vescovo Simplicio 45, 70014 Conversano, Italy
Interests: numerical methods for differential equation; high order finite difference schemes; boundary value problems; singularly perturbed; singular; with discontinuous source; multipoint; Sturm–Liouville problems; multiparameter spectral problems; image processing; reaction and diffusion problems; colon cancer model; data mining

Special Issue Information

Dear Colleagues,

Differential equations with boundary conditions arise from many applications in engineering, biology, electrodynamics, quantum mechanics, physics. The numerical methods are essential for solving this kind of problems, especially, when the solutions are particularly stiff and high accuracy is difficult to be reached. Moreover, in many cases the problems can be singularly perturbed, singular, with discontinuous source terms, non-local, so that numerical methods can require to adopt a mesh adaptation to get an accurate solution. This special issue has the aim to collect latest development on the numerical methods solving boundary value problems that could also arise from real applications.

Dr. Giuseppina Settanni
Guest Editor

Manuscript Submission Information

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Keywords

  • boundary value problems
  • ordinary differential equations
  • partial differential equations
  • non-local problems
  • singular problems
  • singularly perturbed problems
  • discontinuous source term
  • nonlinear differential equations
  • numerical approaches and applications

Published Papers

This special issue is now open for submission.
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