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h-, p-, and hp-versions of the least-squares collocation method for solving boundary value problems for biharmonic equation in irregular domains and their applications. (English. Russian original) Zbl 07538076

Comput. Math. Math. Phys. 62, No. 4, 517-537 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 4, 531-552 (2022).
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On solvability of some boundary value problems with involution for the biharmonic equation. (English) Zbl 1480.31003

Ashyralyev, Allaberen (ed.) et al., Functional analysis in interdisciplinary applications II. Collected papers based on the presentations at the mini-symposium, held as part of the fourth international conference on analysis and applied mathematics, ICAAM, September 6–9, 2018. Cham: Springer. Springer Proc. Math. Stat. 351, 75-90 (2021).
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Sufficient conditions for solvability of one class of Neumann-type problems for the polyharmonic equation. (English. Russian original) Zbl 1473.35188

Comput. Math. Math. Phys. 61, No. 8, 1276-1288 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 8, 1295-1308 (2021).
MSC:  35J40 31B30 35A01
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Necessary and sufficient condition for the existence of a classical solution of the inhomogeneous biharmonic equation. (English. Russian original) Zbl 1465.35168

Differ. Equ. 57, No. 3, 304-316 (2021); translation from Differ. Uravn. 57, No. 3, 326-337 (2021).
MSC:  35J30 31A30 35A01
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Wavelet Galerkin methods for higher order partial differential equations. (English) Zbl 1480.65261

Manchanda, Pammy (ed.) et al., Mathematical modelling, optimization, analytic and numerical solutions. Selected papers based on the presentations at the international conference in conjunction with 14th biennial conference of ISIAM, Guru Nanak Dev University, Amritsar, India, February 2–4, 2018. Singapore: Springer. Ind. Appl. Math., 231-253 (2020).
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