Cao, Y.; Nikan, O.; Avazzadeh, Z. A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels. (English) Zbl 1500.65082 Appl. Numer. Math. 183, 140-156 (2023). MSC: 65M70 65M06 65N35 65D30 65D12 65M12 65R20 35R09 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Cao} et al., Appl. Numer. Math. 183, 140--156 (2023; Zbl 1500.65082) Full Text: DOI
Li, Menglian; Nikan, Omid; Qiu, Wenlin; Xu, Da An efficient localized meshless collocation method for the two-dimensional Burgers-type equation arising in fluid turbulent flows. (English) Zbl 07789031 Eng. Anal. Bound. Elem. 144, 44-54 (2022). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{M. Li} et al., Eng. Anal. Bound. Elem. 144, 44--54 (2022; Zbl 07789031) Full Text: DOI
Rasoulizadeh, M. N.; Avazzadeh, Z.; Nikan, O. Solitary wave propagation of the generalized Kuramoto-Sivashinsky equation in fragmented porous media. (English) Zbl 1509.76015 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 252, 20 p. (2022). MSC: 76B25 76S05 76M99 76M20 PDFBibTeX XMLCite \textit{M. N. Rasoulizadeh} et al., Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 252, 20 p. (2022; Zbl 1509.76015) Full Text: DOI
Nikan, O.; Avazzadeh, Z.; Rasoulizadeh, M. N. Soliton wave solutions of nonlinear mathematical models in elastic rods and bistable surfaces. (English) Zbl 1521.65105 Eng. Anal. Bound. Elem. 143, 14-27 (2022). MSC: 65M70 35K55 65D12 65L05 PDFBibTeX XMLCite \textit{O. Nikan} et al., Eng. Anal. Bound. Elem. 143, 14--27 (2022; Zbl 1521.65105) Full Text: DOI
Nikan, O.; Avazzadeh, Z. A locally stabilized radial basis function partition of unity technique for the sine-Gordon system in nonlinear optics. (English) Zbl 07538468 Math. Comput. Simul. 199, 394-413 (2022). MSC: 65-XX 78-XX PDFBibTeX XMLCite \textit{O. Nikan} and \textit{Z. Avazzadeh}, Math. Comput. Simul. 199, 394--413 (2022; Zbl 07538468) Full Text: DOI
Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A. Numerical simulation of a degenerate parabolic problem occurring in the spatial diffusion of biological population. (English) Zbl 1498.92004 Chaos Solitons Fractals 151, Article ID 111220, 12 p. (2021). MSC: 92-08 65M06 35K55 65M70 92D25 PDFBibTeX XMLCite \textit{O. Nikan} et al., Chaos Solitons Fractals 151, Article ID 111220, 12 p. (2021; Zbl 1498.92004) Full Text: DOI
Nikan, O.; Avazzadeh, Z. A localisation technique based on radial basis function partition of unity for solving Sobolev equation arising in fluid dynamics. (English) Zbl 1508.65144 Appl. Math. Comput. 401, Article ID 126063, 23 p. (2021). MSC: 65M70 35Q35 65D12 65M15 PDFBibTeX XMLCite \textit{O. Nikan} and \textit{Z. Avazzadeh}, Appl. Math. Comput. 401, Article ID 126063, 23 p. (2021; Zbl 1508.65144) Full Text: DOI
Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A. Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model. (English) Zbl 1481.65150 Appl. Math. Modelling 100, 107-124 (2021). MSC: 65M06 35R11 65M12 80A19 PDFBibTeX XMLCite \textit{O. Nikan} et al., Appl. Math. Modelling 100, 107--124 (2021; Zbl 1481.65150) Full Text: DOI
Nikan, O.; Avazzadeh, Z. Numerical simulation of fractional evolution model arising in viscoelastic mechanics. (English) Zbl 1486.65206 Appl. Numer. Math. 169, 303-320 (2021). MSC: 65M70 65M06 65N35 65M12 65M15 65D12 74Dxx 74S40 26A33 35R11 PDFBibTeX XMLCite \textit{O. Nikan} and \textit{Z. Avazzadeh}, Appl. Numer. Math. 169, 303--320 (2021; Zbl 1486.65206) Full Text: DOI
Nikan, O.; Avazzadeh, Z. Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow. (English) Zbl 1486.65205 J. Comput. Appl. Math. 398, Article ID 113695, 19 p. (2021). MSC: 65M70 65M06 65N35 65D12 65M12 35L15 76A10 74D99 35A35 PDFBibTeX XMLCite \textit{O. Nikan} and \textit{Z. Avazzadeh}, J. Comput. Appl. Math. 398, Article ID 113695, 19 p. (2021; Zbl 1486.65205) Full Text: DOI