We propose a nodal discontinuous Galerkin method for solving the nonlinear Riesz space fractional Schrödinger equation and the strongly coupled nonlinear Riesz space fractional Schrödinger equations. These problems have been expressed as a system of low order dif- ferential/integral equations. Moreover, we prove, for both problems, L 2 stability and opti- mal order of convergence O (h N+1 ) , where h is space step size and N is polynomial degree. Finally, the performed numerical experiments confirm the optimal order of convergence

Twenty 2D seismic lines were interpreted with three well velocities and time-depth trace conversion to characterize the different stratigraphic tops of Komombo basin and to highlight the major structural elements. Five depth structure contour maps were constructed on the tops of Pre-Cambrian Basement, Neocomian, Aptian and Albian/Cenomanian sequences. The interpretations of depth structure contour maps show two main fault trends: NW-SE and NE to ENE directions. The NW-SE trend is the dominant one, creating a half-graben system with two major bounding faults. The northeast one is downthrown to the southwest, while the southwestern bounding fault is downthrown to the northeast. The restoration of the structure patterns and sediment fill evolution in Komombo basin is attempted using the 2D seismic lines in background, integrated with the well data (Al Baraka-1 and Komombo-3). A series of flattened profiles on top of Pre-Cambrian Basement, Neocomian, Barremian, Aptian, Albian/Cenomanian, Turonian, Coniacian/Santonian, and Campanian/Maastrichtian successions supported the identification of basin dimensions during its development through the main tectonic phases.

Twenty 2D seismic lines were interpreted with three well velocities and time-depth trace conversion to characterize the different stratigraphic tops of Komombo basin and to highlight the major structural elements. Five depth structure contour maps were constructed on the tops of Pre-Cambrian Basement, Neocomian, Aptian and Albian/Cenomanian sequences. The interpretations of depth structure contour maps show two main fault trends: NW-SE and NE to ENE directions. The NW-SE trend is the dominant one, creating a half-graben system with two major bounding faults. The northeast one is downthrown to the southwest, while the southwestern bounding fault is downthrown to the northeast. The restoration of the structure patterns and sediment fill evolution in Komombo basin is attempted using the 2D seismic lines in background, integrated with the well data (Al Baraka-1 and Komombo-3). A series of flattened profiles on top of Pre-Cambrian Basement, Neocomian, Barremian, Aptian, Albian/Cenomanian, Turonian, Coniacian/Santonian, and Campanian/Maastrichtian successions supported the identification of basin dimensions during its development through the main tectonic phases.

Cu5GexTe95−x (x = 14, 16, 18 and 20) thin films were successfully deposited using thermal evaporation technique. The optical transmittance (T) and reflectance (R) spectra in the wavelength range 250–2500 nm were used for the determination of the optical energy gap and the associated optical constants of the deposited thin films. It was found that, the absorption coefficient (α), refractive index (n) and the extinction coefficient (k) spectra vary with increasing Ge concentration. The indirect optical band gap Eg is found to decrease while the Urbach tail energy increases for different film compositions. The refractive index dispersion data were analysed using the Wemple–DiDomenico single-effective-oscillator model. As a result, the oscillator energy (Eso), dispersion energy (Ed), oscillator strength (Sso), and zero-frequency refractive index (no) were determined. The dependence of the optical constants of Cu5GexTe95−x on the photon energy (hν) at different Ge concentrations is discussed.

Cu5GexTe95−x (x = 14, 16, 18 and 20) thin films were successfully deposited using thermal evaporation technique. The optical transmittance (T) and reflectance (R) spectra in the wavelength range 250–2500 nm were used for the determination of the optical energy gap and the associated optical constants of the deposited thin films. It was found that, the absorption coefficient (α), refractive index (n) and the extinction coefficient (k) spectra vary with increasing Ge concentration. The indirect optical band gap Eg is found to decrease while the Urbach tail energy increases for different film compositions. The refractive index dispersion data were analysed using the Wemple–DiDomenico single-effective-oscillator model. As a result, the oscillator energy (Eso), dispersion energy (Ed), oscillator strength (Sso), and zero-frequency refractive index (no) were determined. The dependence of the optical constants of Cu5GexTe95−x on the photon energy (hν) at different Ge concentrations is discussed.

Cu5GexTe95−x (x = 14, 16, 18 and 20) thin films were successfully deposited using thermal evaporation technique. The optical transmittance (T) and reflectance (R) spectra in the wavelength range 250–2500 nm were used for the determination of the optical energy gap and the associated optical constants of the deposited thin films. It was found that, the absorption coefficient (α), refractive index (n) and the extinction coefficient (k) spectra vary with increasing Ge concentration. The indirect optical band gap Eg is found to decrease while the Urbach tail energy increases for different film compositions. The refractive index dispersion data were analysed using the Wemple–DiDomenico single-effective-oscillator model. As a result, the oscillator energy (Eso), dispersion energy (Ed), oscillator strength (Sso), and zero-frequency refractive index (no) were determined. The dependence of the optical constants of Cu5GexTe95−x on the photon energy (hν) at different Ge concentrations is discussed.

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In this paper, we adopt the notion of CLR property for hybrid pairs of L-fuzzy mappings in non-Archimedean modified intuitionistic fuzzy metric spaces and utilize the same to prove some common fixed point theorems for L-fuzzy mappings in non-Archimedean modified intuitionistic fuzzy metric spaces. Our results generalize and improve several earlier relevant known results. We also substantiate our results using illustrative examples.

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