Numerical methods in inverse problems

Özet henüz yok.

• HÜSEYİN TUNA

Abstract We consider inverse problems of determining a spatially varying coefficient or spatially varying factor in a source term from the initial and final data together and Cauchy data on a lateral boundary. We establish both uniqueness and the stability results. The key idea is a simple translation with respect to…

In this study, we introduce some properties of the Sturm-Liouville boundary value problem on bounded time scales. Then, to give the solution of inverse problems, uniqueness theorems are provided for two characteristic data: the Weyl function and a set of j-th eigenvalues of countably infinite Sturm-Liouville boundary…

Bu çalışmada, birinci mertebeden lineer gecikmeli diferansiyel denklemler için başlangıç değer probleminin çözümü için yeni bir nümerik şema önerilmiştir. Bu şema, kalan terimleri integral formda olan quadratür kuralları kullanarak düzgün bir şebeke üzerinde sonlu farklar yöntemi ile oluşturulmuştur. Şemanın ayrık mak…

This study focuses on the inverse nodal problem for a singular diffusion equation that involves eigenparameter-dependent terms and internal discontinuities. First, we derive reconstruction formulas for the potential function q(x) and the parameter β using nodal data, applying the Chebyshev interpolation method in the…

Abstract: This paper presents numerical approaches to the inverse nodal problem for a diffusion operator defined on a star graph with nonhomogeneous edges. Based on the asymptotic behavior of sufficiently large eigenvalues, nodal data are employed to reconstruct the potential functions and the parameters appearing in…

Özet henüz yok.

Özet henüz yok.

Özet henüz yok.

Bir regle yüzeyin daralma noktasındaki birim normalin yönüne, regle yüzeyin merkez normali denir ve $t$ ile gösterilir. Bu çalışmada, manyetik alan içindeki bir regle yüzeyin merkez normalinin Frenet çatısı $\left\{ T_{t}, N_{t}, B_{t}\right\}$ tarafından indüklenen Lorentz kuvvetleri ve manyetik eğrileri incelenmekte…

In this paper, we study regular second-order Sturm--Liouville difference equations using the discrete Prüfer transformation. By representing solutions in amplitude and phase coordinates, we analyze an exact algebraic phase system that guarantees unique, monotonic phase tracking and preserves classical oscillation prop…

In this paper, we study regular second-order Sturm--Liouville difference equations using the discrete Prüfer transformation. By representing solutions in amplitude and phase coordinates, we analyze an exact algebraic phase system that guarantees unique, monotonic phase tracking and preserves classical oscillation prop…