Results 31 to 40 of about 112,578 (238)
Approximate Solution of Nonlinear Time-Fractional PDEs by Laplace Residual Power Series Method
Mathematics, 2022 Most physical phenomena are formulated in the form of non-linear fractional partial differential equations to better understand the complexity of these phenomena.
Hussam Aljarrah +3 more
doaj +1 more source
Laplace Residual Power Series Method for Solving Three-Dimensional Fractional Helmholtz Equations
Symmetry, 2023 In the present study, the exact solutions of the fractional three-dimensional (3D) Helmholtz equation (FHE) are obtained using the Laplace residual power series method (LRPSM). The fractional derivative is calculated using the Caputo operator. First, we introduce a novel method that combines the Laplace transform tool and the residual power series ...
Wedad Albalawi +4 more
openaire +1 more source
Solution of fractional modified Kawahara equation: a semi-analytic approach
Mathematics in Applied Sciences and Engineering, 2023 The present study examines a semi-analytical method known as the Fractional Residual Power Series Method for obtaining solutions to the non-linear, time-fractional Kawahara and modified Kawahara equations.
Sagar Khirsariya +2 more
doaj +1 more source
The Role of “Adult‐Onset” Cancer Predisposition Genes in Pediatric Cancer: A Comprehensive Review
Pediatric Blood &Cancer, EarlyView.ABSTRACT Current literature estimates that 10% of pediatric cancers are caused by pathogenic or likely pathogenic (P/LP) germline variants in cancer predisposition genes (CPGs). Variants in CPGs thought to increase cancer risk exclusively during adulthood are referred to as “adult‐onset” CPGs (aoCPGs).
Maria Rozo +5 more
wiley +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Despite 5‐year survival rates of over 90% among children and adolescents/young adults (CAYAs) with classic Hodgkin lymphoma (cHL), 15%–20% relapse after frontline therapy. Prior analysis of frontline Children's Oncology Group (COG) clinical trials demonstrated that, despite similar rates of relapse, non‐Hispanic Black (NHB) and ...
Mallorie B. Heneghan +14 more
wiley +1 more source
Residual power series method for solving nonlinear reaction-diffusion-convection problems
Boletim da Sociedade Paranaense de Matemática, 2021 In this paper, the residual power series method (RPSM) is applied to one of the most frequently used models in engineering and science, a nonlinear reaction diffusion convection initial value problems. The approximate solutions using the RPSM were compared to the exact solutions and to the approximate solutions using the homotopy analysis method.
M. S. Khader, Mahmoud H. DarAssi
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Impact of Metastatic Patterns on Survival and Response to Therapy in Neuroblastoma
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background While the presence of metastases in neuroblastoma (NB) is a well‐established prognostic factor, the clinical significance of dissemination patterns and tumour burden and their impact on response and survival remains poorly understood.
Mariona Morell‐Daniel +15 more
wiley +1 more source
On comparison of approximate solutions for linear and nonlinear schrodinger equations
Acta Scientiarum: Technology, 2019 In this paper, homotopy analysis transform method and residual power series method for solving linear and nonlinear Schrödinger equations are introduced. Residual power series algorithm gets Maclaurin expansion of the numerical soliton solutions.
Zeliha Korpinar
doaj +1 more source
Solving Boundary-Layer Problems by Residual-Power-Series Method
Journal of Mathematics Research, 2016 <p><span lang="EN-US">In this paper, the so-called residual-power-series (RPS) method is presented for solving nonlinear boundary-layer equations. The RPS method provides a single unified treatment for the linear and nonlinear terms in the equations.
openaire +2 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT As part of the European Cooperative Study Group for Paediatric Rare Tumours initiative, we developed standard clinical practice guidelines for ovarian sex cord stromal tumors, based on comprehensive national and international cohort analyses, literature review, and a final expert consensus conference.
Dominik T. Schneider +15 more
wiley +1 more source